EduRev Electronics and Communication Engineering (ECE) Question is disucussed on EduRev Study Group by 2970 Electronics and Communication Engineering (ECE) StudentsUse implicit differentiation to find the largest yvalue in the loop of the Folium of Descartes, which is given by x^3 y^3 3xy = 0Watch Video in App This browser does
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X^3-y^3-3xy biết x-y=1- Find the extreme values of the function x3 y3 – 3xy Let a, b ∈ R be such that the function f given by f(x) = ln x bx^2 ax, x ≠ 0 has extreme values at x = – 1 and x = 2Podemos cancelar el 3
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X^33x^2y3xy^2y^3 ———————————— X^3y^3 Get the answers you need, now! Explanation differentiate implicitly with respect to x The product rule has to be used on the right side 3x2 3y2 dy dx = 3x dy dx 3y ⇒ 3y2 dy dx −3x dy dx = 3y − 3x2 ⇒ dy dx (3y2 −3x) = 3(y − x2) ⇒ dy dx = 3(y − x2) 3(y2 − x) = y − x2 y2 − x Answer link(a) x 2 y 2 2xy (b) x 2 y 2 – xy (c) xy 2 (d) 3xy polynomials
Trả lời (1) x 3 y 3 3xy= (xy) (x 2 xyy 2 )3xy (2) Nếu bạn hỏi, bạn chỉ thu về một câu trả lời Nhưng khi bạn suy nghĩ trả lời, bạn sẽ thu về gấp bội!Find the critical points of the function {eq}f(x,y) = 4 x^3 y^3 3xy {/eq} and classify them as local maximum or minimum or saddle pointsSee the answer See the answer See the answer done loading
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history1 Log in Join now 1 Log in Join now Ask your question 35aryan Mathematics High School 5 pts Answered X^33x^2y3xy^2y^3F(x,y)=x^3y^33xy 分别对x,y求偏导 fx=3x^23y fy=3y^23x 令fx=0,fy=0,可得x=0,y=0,或x=1,y=1这2个驻点 然后求二阶偏导 fxx=6x,fxy=3,fyy=6y x=0,y=0时,fxx=0,fxy=3,fyy=0,(3)^>0,所以(0,0)不是极值点;
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Now your easily get the answer X×3 Y×3 = 9×3 5×3 this implies, 27–15=12 Hence 12 is the right answer for this I would suggest a trick for that make a pair in which XY =4 and choose that no if we multiply both then they give less than 45 After 2–3 attempt if you are beginners you can easily find the correct pair for all equationsVyriešte matematické problémy pomocou nášho bezplatného matematického nástroja, ktorý vás prevedie jednotlivými krokmi riešení Podporované sú základné matematické funkcie, základná aj pokročilejšia algebra, trigonometria, matematická analýza a ďalšie oblastiSolutionShow Solution Elaborating x 3 y 3 using identity a 3 b 3 = (a b) (a 2 ab b 2 ) = x ( x y) (x 2 xy y 2 ) 3xy (x y ) Taking common x ( x y ) in both the terms = x ( x y) {x 2 xy y 2 3y} ∴ x (x 3 y 3 ) 3xy ( x y) = x ( x y ) (x 2 xy y 2 3y)
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Jul 12,21 If u = x log xy, wherex3 y3 3xy = 1, then du/dx is equal toa)b)c)d)Correct answer is option 'A' Can you explain this answer?= x(x – y) (x^2 xy y^2 3y) = x(x – y) (x^2 xy y^2 3y)If u = x log xy, where x 3 y 3 3xy = 1, then \(\frac{{du}}{{dx}}\) is SOLUTION u = x log xy x 3 y 3 3xy = 1 By using total differentiation concept, \(du
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(x•((x 3)(y 3)))3xy•(xy) Step 2 Trying to factor as a Difference of Cubes 21 Factoring x 3y 3 Theory A difference of two perfect cubes, a 3 b 3 can be factored into (ab) • (a 2 ab b 2) Proof (ab)•(a 2 abb 2) = a 3 a 2 b ab 2ba 2b 2 ab 3 = a 3 (a 2 bba 2)(ab 2b 2 a)b 3 = a 3 0 0b 3 = a 3b 3 CheckExceptuando x = 0 2 x = 3;X^3 y^3 = 3xy^2, find dy/dx using implicit differentiation
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Click here👆to get an answer to your question ️ If x^3 y^3 3xy^2 3x^2y 1 = 0 , then at (0 , 1) dy/dx equals Which of the following is a factor of (x y) 3 – (x 3 y 3 )?4x 3xy* y4 O 4x xy 3xy y 3 Answers 2 Get Other questions on the subject Mathematics Mathematics, 1330, khan2491 2(n1)4n=2(3n1)n=0no solutioninfinitely many solutions n= 4 !
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x³ x³ = 3 x²;X y is a binomial in which x and y are two terms In mathematics, the cube of sum of two terms is expressed as the cube of binomial x y It is read as x plus y whole cube It is mainly used in mathematics as a formula for expanding cube of sum of any two terms in their terms ( x y) 3 = x 3 y 3 3 x 2 y 3 x y 2Simple and best practice solution for 3xy^4x^2y^52x^3y^3= equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework
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If x y = 1, then find the value of x3 – y3 – 3xy 1 See answer plus Add answer 5 pts report flag outlined bell outlined Log in to add comment sugar15 is waiting for your helpY = 3/2 La pendiente de la recta tangente en un punto es igual a la derivada de la función en dicho punto Derivamos bajo la forma implícita (el segundo miembro es un producto) 3 x² 3 y² y' = 3 y 3 x y' y' (3 y² 3 x) = 3 y 3 x²; x^(3) y^(3) 1 3xy का गुणनखंड ज्ञात कीजिये। Updated On 126 To keep watching this video solution for FREE, Download our App Join the 2 Crores Student community now!
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Transcript Ex 25, 9 Verify (i) x3 y3 = (x y) (x2 – xy y2) LHS x3 y3 We know (x y)3 = x3 y3 3xy (x y) So, x3 y3 = (x y)3 – 3xy (x yFactor x^3y^3 x3 − y3 x 3 y 3 Since both terms are perfect cubes, factor using the difference of cubes formula, a3 −b3 = (a−b)(a2 abb2) a 3 b 3 = ( a b) ( a 2 a b b 2) where a = x a = x and b = y b = y (x−y)(x2 xyy2) ( x y) ( x 2 x y y 2)Learn with Tiger how to do 1/(xy)(3xy)/(x^2y^2) fractions in a clear and easy way Equivalent Fractions,Least Common Denominator, Reducing (Simplifying) Fractions Tiger Algebra Solver
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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music WolframAlpha brings expertlevel knowledge andCalculus Find dy/dx x^3y^3=3xy^2 x3 y3 = 3xy2 x 3 y 3 = 3 x y 2 Differentiate both sides of the equation d dx (x3 y3) = d dx (3xy2) d d x ( x 3 y 3) = d d x ( 3 x y 2) Differentiate the left side of the equation Tap for more steps DifferentiateVisit to my Channel https//youtubecom/c/GRAVITYcoachingInstituteVisit to my Channel Playlist https//wwwyoutubecom/c/GRAVITYCOACHINGINSTITUTE/playlists
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Solution for xy2xy=3 equation Simplifying x y 2xy = 3 Reorder the terms x 2xy y = 3 Solving x 2xy y = 3 Solving for variable 'x' Move all terms containing x to the left, all other terms to the rightQuestion Let f(x, y)= x^3y^3 3xy (a) Find the critical points of f (b) Classify each critical point in part (a) as either a local maximum, local minimum, or saddle point This problem has been solved! 0 This is an online question, and the system is marking it to be incorrect However, I can not figure out where I went wrong Calculate the derivative of y with respect to x x 3 y 3 x y 3 = x y Here is my attempt ( x 3 y) ′ ( 3 x y 3) ′ = x ′ y ′ ( 3 x 2 y d y d x x 3) 3 ( y 3 3 y 2 d y d x x) = 1 d y d x 3 x 2 y d y d x x 3 3 y 3 9 y 2 d y d x x = 1 d y d x
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#(x^2y^22xy)(xy)=x^3x^2yxy^2y^32x^2y2xy^2# #rArr x^3y^33x^2y3xy^2# Always expand each term in the bracket by all the other terms in the other brackets, but never multiply two or more terms in the same bracketLearn with Tiger how to do 1/xy3xy/x^3y^3 fractions in a clear and easy way Equivalent Fractions,Least Common Denominator, Reducing (Simplifying) Fractions Tiger Algebra SolverLet {eq}f(x,y) = x^33xyy^2 {/eq} Find the directional derivative of f at (1, 2) if moving towards the point (4, 2) Give a unit direction corresponding to a zero rate of change in z from (1 2
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Click here👆to get an answer to your question ️ factorise x^3 3x^2y 3xy^2 y^3 8 f(x)=x³y³3xy f'x=3x²3y=0, 得y=x² f'y=3y²3x=0，代入y得：x^4x=0, 得x=0, 1 得驻点(0, 0) (1, 1) A=f"xx=6x B=f"xy=3 C=f"yy=6y 在(0, 0), A=C=0, B²AC=9>0, 所以这不是极值 0 View Full Answer Vishnu Rai, added an answer, on 25/5/17 Vishnu Rai answered this Please find this answer Was this answer helpful?
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The function F(x, y) = x 3 y 3 3xy 4 First order partial derivatives f x (x, y) = 3x 2 3y f y (x, y) = 3y 2 3x Second order partial derivatives F xx (x, y) = 6x F yy (x, y) = 6y F xy (x, y) = 3 Step 2 The critical points satisfy the equations f x (x,y) = 0 and f y (x,y) = 0 So solve the following equations F x = 0 and F y = 0 simultaneouslyHence 3x 2 3y = 0 3x 2 = 3yWe get cubic in t, On solving for t, we get 3 solns t=7, , Now we know t = xy, on substituting for t in result 1 ,we get the value of xy As we know now xy and (xy) we can solve for x and y On solving we get 1)t=7, x=3,y=4 x 3 y 3 = (x y)(x 2 xy y 2 ) this formula can be derived from (x y) 3 = x 3 y 3 3xy(x y) x 3 y 3 = (x y) 3 3xy(x y) x 3 y 3 = (x y)(x
1
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281 Bài viết Giới tính Nam Đến từ THPT chuyên Phan Bội Châu Nghệ An Đã gửi 01 cho x,y là các số thực thỏa mãn x2y2 = 2 x 2 y 2 = 2 tìm min max của P= 2(x3y3)−3xy 2 ( x 3 y 3) − 3 x y Trở lên trên x(x^3 – y^3) 3xy(x – y) = x(x – y) (x^2 xy y^2) 3xy(x – y) Taking x(x – y) as a common factor;Differentiate with respect to x 3x^2 3y^2dy/dx=3(xdy/dx y) 3x^23y^2dy/dx =3xdy/dx3y 3y^2dy/dx3xdy/dx=3y3x^2 dy/dx(3y^2–3x)=3y3x^2 dy/dx=(3y3x^2)/(3y^2–3x
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Chứng minh \( (xy)^3(yx)^3(yx)^33xy(xy)=x^3y^3\) Danh sách các câu trả lời Toán lớp 1 Toán lớp 2 Toán lớp 3 Toán lớp 4 Toán lớp 5 Toán lớp 6 Toán lớp 7 Toán lớp 8 Toán lớp 9This is a first order homogeneous differential equation, that is, the sum of the powers of x and y of each term multiplying dx and dy is constant, in this case 3 In this type, the substitution y = vx, dy = x*dv v*dx will always lead to a separation of the variables x and v The solution could be messy u = x 3 y 3 3xy 2 ∴ u is a homogeneous function in x and y of degree 3 ∴ By Euler's theorem, Related questions 0 votes 1 answer Let u = x^2 y^3 cos(x/y) By using Euler's theorem show that x∂u/∂x y∂u/∂y asked in Applications of Differentiation by Darshee (491k points) applications of
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We need to differentiate x 3 y 3 ( x) = 3 x y ( x) Let's do each term one by one Differentiate x 3 You should quickly see this is 3 x 2 To differentiate ( y ( x)) 3, we need to remember the chain rule This can be written in many different ways, but this is a composition of the functions ( ⋅) 3 ∘ y ∘ xSolve your math problems using our free math solver with stepbystep solutions Our math solver supports basic math, prealgebra, algebra, trigonometry, calculus and moreThe equation x³ 3xy y³ = 1 is solved in integers Find the possible values of xy x³ 3xy y³ 1 = 0 We divide both sides by x (1y) or xy1 Solve for x via the quadratic formula One thing to note the expression inside the radical is equal to 3(y1)^2 Since the square of a number is always nonnegative, we will never
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