(b) Use implicit differentiation by partial derivative to solve for of function 3x2 + 2xy = -4y3. dx

Q: give a problem and solution for differentiation rule of exponential and logarithmic functions in…

A: The solution for the above question is as shown below.

Q: Find the derivative, dy/dx: y = x² In x3 ý =- 2 1-4 ln x x³ In? x 3. ý = -2 In x – 2x | y = --(- 3…

A:

Q: Solve for the derivative of x² – y² = 9 using implicit differentiation %3D

A: Given :                x2 - y2 = 9To find :                 y'

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

A:

Q: 3x-4 1. y = Arctan

A:

Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x = 5 using a…

A: Given function is y=cosx. We have to find the first derivative of y=cosx at x=π2 using a value of…

Q: A second derivative Findd2y/dx2 if x2 + y2 = 1.

A:

Q: The derivative of y = 2 ln ⁡ x − ln ⁡ x 3 is

A: The given function is, y=2lnx-lnx3

Q: 1) Find the derivative of y =-+x-1 %3D

A:

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec = sec-1 27) y = -sin-1 (5x2 + 2) 28)…

A:

Q: Find the first derivative x2y + y2-2xy =5                   Use implicit differentiation

A: The given equation is x2y+y2-2xy=5. Assume y is a function of x. By implicit differentiation, find…

Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

A:

Q: 5. Find the third derivative of the function : 3 (ans. : - 8y y=Vx

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: 10. f(x) = cos (2x)e*²-1

A:

Q: 2) Use the Chain Rule to express the second derivative of fog in terms of the first and second…

A:

Q: 18) Find the first derivative of y = 1 -sin² x - 4

A: The given function is: y=14sin2x

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

A:

Q: Find a function y=f(x) whose second derivative is y''=12x-2 at each point (x,y) on its graph y=-x+5…

A: The second derivative of the function, y and tangent to the graph of y is given as,

Q: Find the derivative of y with respect to x. -1 2х + 3 26) y = sec" 27) y = -sin-1 (5x2 + 2) 28) y =…

A:

Q: Find the derivative of the function.

A: Consider the given function as y=xtan-12x-14ln1+4x2

Q: 3. Find the derivative of y = csc" (sec x), 0<x< 2n.

A: Given ddx(arccsc(sec(x))Let sec(x)=uWe know that ddx(cosec-1…

Q: Find the first derivative of y = 1 using the Chain Rule. (1– x4)6

A: These questions are related to differentiation, We will solve them using given information.

Q: In 2x y = - cos x

A: ddxln 2xcos x= ddxln 2x . cos x - ln 2x.ddxcos xcos2 x= 12x. 2. cos x - ln 2x.(-sin x)cos2x= cos xx…

Q: 1. x² - 2xy + y² − 6x + 2 = 0

A:

Q: Find the second derivative of x² y² + xe = 2 sin y

A: Solution is given below:

Q: 6 Find the 3rd derivative of y = (x-1)2

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5   We differentiate using the chain rule

Q: Find tte implicit derivatives of the (x-y)3 = (x+y)2

A:

Q: Find the second derivative (y”) of 4x2 + 9y2 = 36 by implicit differentiation. a. -16y3/9      b.…

A:

Q: k(x) = x In x %3D

A:

Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: How do you find the partial derivative of a given function using the definition formula?

A:

Q: Find the indicated derivative. dz x2 for z = x2 - dx 1- x - 5x2

A:

Q: Find the derivative of the function. y = -5e- - 4x2 dy dx

A: Solve for the derivative

Q: the Chain Rule.

A: Given: y=11-x46. Let, u=1-x4 By chain rule, the derivative of y with respect to x is given as,…

Q: Use implicit differentiation to find the derivative in the form dy/dx.

A:

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: Use implicit differentiation to calculate the value of derivative y' at the solution point (2, y) =…

A:

Q: Find the derivative of the function 3- y = e- sin 3x 4- y csc- (x2 + 1)

A:

Q: I FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM х 1. y= Arctan- 3-V9-x²

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the fourth derivative of the given: (Show complete solution from first to  fourth derivative)…

A: The function is given by y = (2x+1)25

Q: 1. Find the second derivative of y = sec-'x+ csc-!x. a. 0 b. C. +x+ d. -1 2. е.

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Q: Find the second derivative of y=x-1 at x=2

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Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

Q: 1.Find the derivative of y = - arcsin %3D V4-x2

A: Given:        y=x4-x2-arcsinx2 differentiating on both sides     dydx=ddxx4-x2-arcsinx2…