Find the most general antiderivative of the function. Check your answer by differentiation. (a) f(x) = 2r³ – 5 + 5x 3 %3D - (b) g(t) = 5tª + 4t3 %3D (c) 2 sin r + sin 2x

Q: Find   dy/dx by implicit differentiation. x3 + y3 + 8y − 10 = 0

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Q: Find the differential of the function y = f(x). 2x2 + 5 f(x) = X + 5 dy = %3D

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Q: dy Find the derivative of the function æ' In 3y = y sin 3x + e. %3D

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Q: Can you help me with this problem step by step?

A: Given:

Q: Find the dy/dx by implicit differentiation. 1. 4x2 – 9y2 = 1 2. x³ + y3 = 8xy 3. x? – 7xy + y2 = 0 |

A: As we know that; The sum/difference rule: f±g'=f'±g' The Power law; ddxxn=nxn-1 The Product rule:…

Q: dx y=u(1+u°)³ and u =(3x-2)². %3D Express the derivative in terms of x, if

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Q: Find dy/dx using implicit differentiation at (0, -2) if x³ - xy + y² = 4.

A: option 3 is correct

Q: Find the third derivative of f(x) = ³/15z + 1. f"" (2) - ab a b √a |a| π sin (a) 2.

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6…

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Q: Find dy/dx by implicit differentiation. (a) Vry = x- 2y +1 (b) y³e2 + 53y = sec(3x)) (:) (b) x = In…

A: To find the implicit differentiation.  We use the , basic product and chain rule of differentiation.…

Q: Q.3 Find dx dy by theorem and also check the results by implicit differentiation if x- 1 2y +xy = 0

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Q: Given (y+ 3.x)“ – 4.x = 0,use implicit differentiation to express dy in terms of x and y. dx

A: Solution:

Q: Find dy/dx for e 2x + y 2 = sec(2x) in terms of x and y using implicit differentiation

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Q: Given that y is a function of x defined implicitly by the equation: siny = 4x + xy dy Find the first…

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Q: find dy/dx by implicit differentiation. 1. (2x+y)^3=x 2. (x-2y)^2=y 3. xy+2y=3 4. xy+2y=x^2

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Q: Find of the following by implicit differentiation. Show solution. dx y sin x =x2 – 2y • sin x+ sin y…

A: This question is related to derivative.

Q: 7)y= 2e* +2x -2.x

A: we have to find the first derivative of y

Q: Given (y+3x)^2−4x=0, use implicit differentiation to express dy/dx​ in terms of x and y.

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Q: Find the derivative of y with respect to x. y= sin -3 O A. XV1-x - 3 O B. 1+x - 3x 3 c. 1-x -3 O D.…

A: Given that: y=sin-11x3

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2 1. Z= 1+x? ; d²z/dx? 2. Y = (3x + 2)* ;y"…

A: Given function is: y=3x3+24 We have to calculate d2ydx2 or y''. Now we see,…

Q: Find the indicated derivative. dy for y = dx 1 – 2x2 x4 – 2x² + 4 %3D

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Q: Find the particular antiderivative of the following derivative that satisfies the given condition.…

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Q: Find the dy/dx of te function using DIFFERENTIATION OF CHAIN RULE, INVERSE AND PARAMETRIC FUNCTIONS…

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Q: 2x + 2y %3D 1. Use implicit differentiation to find dy/dx for ey

A: GIVEN ex2y =2x+2y

Q: FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 1. Z=- ; d²z/dx? 1+x2 2. Y= (3x³ + 2)ª ;y" 3.…

A: z=2(1+x2) Differentiate with respect to x, dzdx=ddx2(1+x2)-1      =2(-1)(1+x2)-1-1(2x)…

Q: Find d2y/dx2 by implicit differentiation: a. x3 + y3 = 1 b. y2 = 1 -2/x.

A: a. Given,

Q: Find the dy/dx by implicit differentiation. yvx +1= 4x - 2y 2(x+1) x+1 O Xxww wwxx 2y 2(x+1) x+1 O…

A: Given:  yx+1=4x To Find: To find dydx by using implicit differentiation.

Q: Find the derivative of y = x°e*. O a. y' = 3e*x2(e*+x) O b. y 3x2(e* +1) O c. y = e*x2(x+ 3) O d. y'…

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Q: Find dy/dx by implicit differentiation. 4. x²- 2xy + y = c 5. x'y + xy² =3x 6. y +x°y =1+ ye?

A: This question is based on differentiating equation both side with respect to x.

Q: Q4/B/ By using inplicit differentiation find dy/dx for y=x+ cos.xy

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Q: 1. 2x'y² + 4yx² = 6. Find dy/dx at (1, 1) by i- %3D

A: Here we have, 2x3y2+4yx2=6 ................... (1)  Differentiate with respect to x

Q: Q1) Use implicit differentiation to find dy/dx if a) (3xy + 6)2 = 7y b) x cos(3x + 2y) = y sin x %3D

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Q: Given x4 (x + y) = y2 (3x - y), use implicit differentiation to find dy/dx

A: Given: x4 (x + y) = y2(3x - y) To find the derivative use the product rule  ddxuv=vdudx+udvdx and…

Q: Can you help me with this problem step by step?

A: Given:

Q: Find the derivative of the given functions. 1. D,(x²cos 2x) 1 1 2. y=x+zsin 2x 3. f(x)= sin?(5x + 4)

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Q: Find dy/dx by implicit differentiation. 2) x3 - 2y2 = 1 4y B) x2 + 1 A) 4y C) 2y D) x2

A: solve the following

Q: Find the derivative of y with respect to x. - 4x y = (3 + 12x) e dy %3D dx

A: Given function is

Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

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Q: Find the derivative of the function. - c() (수 1 - e9x 1 + e9x y = cos y' = 18e9z sin + e&= )…

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Q: 4. a) Find the following derivatives using differentiation rules. d dx 5 2)* d ii) Vx + dx d²y b) If…

A: 4 First we will see differentiation rules.…

Q: Find y′ by implicit differentiation. e^(x/y)=4x−2y y'=?

A: To calculate the value dy/dx from the provided implicit differentiation e(x/y)=4x-2y. Now,…

Q: dy Find by implicit differentiation a. ペt=e4 b. Jxy=xy+| Sinx t 2 cos 2y=I %3D C-

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Q: Can you help me with this problem step by step?

A: Differentiating implicitly with respect to x on both sides. Solving left hand side first.

Q: Find dy/dx by implicit differentiation, given that x^2y-7y^8=-2 Your answer could involve both x…

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Q: Find  dy dx by implicit differentiation for the function. x2 + 3x2y2 + y2 = 6

A: Given  x2 + 3x2y2 + y2 = 6 We have to find dydx by implicit differentiation.

Q: Find dy/dx by implicit differentiation. x6 + y6 + 12y - 10 = 0

A: NOTE: Refresh your page if you can't see any equations. . take the derivative with respect to x

Q: Find the general antiderivative of the function f(x) = +3 sin x - : 1 1+x?

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Q: 1. Differentiate the function f(x) = (4x – 5)*(3x – 1)ª %3D d²y for y = 2x sin 5x dx? 2. Find dy…

A: It is derivative problem.