The derivative of the function y = cos(x In 3) log3(sin x) is:

Q: Using all your knowledge acquired in this unit during the last lectures, calculate the derivative of…

A: The given function equation is

Q: het's say y is the derivative function of x and i Ty CoS 17 Find the 11

A:

Q: 4) Find the derivative of the function: x* cos x h(x) %3D Vx2 + 1

A: Answer

Q: a) Use Logarithmic differentiation to take derivative of y = f(x) = (x)ª cos² x (x3+1)3

A: We use Logarithmic properties

Q: Q2 Find and simplify the derivative of f(x) = cosh ¹(sinh(x)).

A:

Q: What is the derivative of y = ekx? For what values of k does this rule apply?

A: Given function is, y=ekx. The derivative of the given function is found as follows: dydx=ddxekx=kekx

Q: 1. y = x³ (sin(lnx) - cos(lnx)) 2. y = ln 1+sinx 1–sinx (use properties of logarithms)

A:

Q: Use logarithmic differentiation to find the dy/dx of the following (given attached as a photo):

A: We will find out the required value.

Q: Find the 1st Derivative. r=( 2 tan3θ -1)1/3

A:

Q: Find the derivative of each function. Show all your work and simplify the result completely.…

A: Since you have posted multiple questions, we will solve the first question for you. If you want any…

Q: Find a0 of the function f(x) = sin(x/2

A: Given function is:  fx=sinx2

Q: d The derivative of the sine function is the cosine function: d (sin x) = cos x

A: We will use the definition (the first principle) of derivatives to find the derivative of sin(x)…

Q: y = log( cos

A:

Q: What is the derivative of y = log b( cos² (ax)) ? Note that a and b are real numbers.

A: we have to find derivative

Q: Directions: Find the derivative of the following functions: 1. y = log,(x + 5)5 5. y = In x4 %3D 2.…

A: