Given the following equation: y = 12/x³ Which of the following equation represents the first derivative? (Click to select) A y'= 36/x* By' = -36/x4 C y' = -36/x2 Dy' = 12/x2

Q: Find the derivative of the function. y = ln(2 − e5x)

A:

Q: Find the derivative of y=ln^3(tan^-1x)

A:

Q: Find the derivative of the function. y = tan an-¹ (√x-4)

A: We can find the derivative using chain rule as below.

Q: Find the derivative of  y=sin^-1(cos(x))

A: We can find the derivative as below

Q: Find the derivative of the function. y = sin-(6x + 1) y' =

A:

Q: y = ln 1-x² 1+x²

A:

Q: find the derivative of y with respect to the appropriate variable.31. y = cos-1 x - x sech-1 x…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Solve for the first, second, and third derivatives of y = 1/(4 + x) and then find a formula for its…

A:

Q: Find the derivative of the function.

A:

Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

A:

Q: Find the derivative of the function y = ln(9 – e-ª).

A:

Q: 2) Let y = xe* and find the first derivative y'. Where is y'>0?What does this tell you about the…

A:

Q: Find the derivatives of the functions y = ln (sec2 θ)

A:

Q: Find the equation of the tangent line at the point

A:

Q: Find the derivative with respect to t. y= csc-1(et)

A: Given:

Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: , find the derivative of y with respect to the appropriate variable 21. y = ln cosh y - 1/2 tanh2 y…

A: (21) Consider the provided equation, y=lncoshy-12tanh2y Find the derivative of y with respect to the…

Q: Find the derivative of the function. y = 2 cos5 x

A: Given, y = 2 cos5 x To evaluate, dydx

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

Q: Which of the following is the third derivative of y, if * y = (sinh 5)x2

A: we have to solve the problem

Q: Find the derivatives of the functions y = ln cos-1 x

A: The given function is y=lncos-1x.

Q: find the derivative of y with respect to the givenindependent variable. y = 2(s2)

A:

Q: Find the derivative of the function y = ln(9 – e-"). f'(x) =

A: Given that y=ln(9-e-x) To find : Differentiation  y'=f'(x)=ddx(ln(9-e-x))=19-e-xddx(9-e-x)=e-x9-e-x

Q: Find the indicated nth derivative of the following functions: 4. 2nd derivative of y = x5e-3lnx ans.…

A: Topic -  derivative

Q: Find the derivative of the function. y = 5 cos(9x + 1)

A:

Q: Find the 62th derivative of y = cos(x)

A: y=cos (x)

Q: Find the derivative of y = sin(-* e-X 2ex + 1

A:

Q: Find the derivatives of the functions defined as y = sin e4x

A: Given:y=sin e4x

Q: Ө+5 y = Өcos 0

A:

Q: 2. Find the derivative of (x + 1) /x. 3. Given the equation: y = (eln )?, find y'.

A:

Q: The 2nd derivative of the given functions is y = 3 cos (4x – 5)

A:

Q: The nth derivative of y = sinx cosx

A: We know that,  2sinxcosx=sin2x Therefore, y=sinxcosxy=122sinxcosxy=12sin2x              ⋯⋯1…

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

A: Obtain the derivative of the given function as follows.

Q: What is the first derivative of s(æ) = 4e"*.

A:

Q: find the derivatives of y=sin(ln|2x+1|)

A: y=sinln2x+1

Q: Find the Derivative of the given function. If y = cos +zv1- 2² , then dy dz Note: simplifying the…

A: Find the derivative

Q: Find the derivative. y=cos(ln 4x^6)

A:

Q: Solve the problem and give a detailed solution. Find the 3rd derivative of y = ln(cos(e3x))

A: Note ÷ I have used chain rule and product rule multiple times. Please look carefully.

Q: Find the derivative of the function. y = sin-1(4x + 1) У'%3

A:

Q: Find the first derivative of 1 2 y -sin?

A: Explained below

Q: Find the derivative of the function x² ln 4y = y sin 4x + e2 Answer:

A: Since you have asked multiple question, as per our guidelines we are supposed to answer only one…

Q: Which is the first derivative of y=vx ?

A:

Q: Find the derivative of y=cos-1 (19x)

A: Consider the given function, y=cos-119x it can be written as, cosy=19x

Q: find the derivative of y with respect to the givenindependent variable. y = 2x

A: y=2x

Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: The first derivative of y = tan-1 /2x

A: derivative

Q: find the derivative of y with respect to the givenindependent variable.

A:

Q: find the derivative of y with respect to the givenindependent variable. y = 3-x

A: