If f(x) = e*sinh x, what is f'(x)? e*(cosh x- sinh x) O Option 1 Option 2 e*(sinh x - cosh x) 2e2x Option 3 Option 4

Q: What is the derivative of the function f(x) = e^(2x) * sin(3x) with respect to x?

A: The function given in the question is a product of two different functions, namely e2x and sin3x. To…

Q: If f(x)= tan^-1 sqrt(5x), then f'(x)= ?

A: Consider the given function. fx=tan-15x The derivative of the function is defined as,…

Q: find I of implicit function sec""cImcy)- In(8**) when yoo

A: 9999

Q: let f(x) = cos(e^x^(5sin(x)) what is f’(x)

A: Given that f(x) = cos(e^x^(5sin(x))  To find the derivative of f(x)

Q: If f (-4) = 0 and f "(-4) = 6, what can you say about f? Step 1 The Second Derivative Test says that…

A: f'(-4) = 0 , f'(x0) = 0 f''(-4) = 6 , f''(x0) > 0

Q: If f(x) = sin(a²), find f'(x). Find f'(3).

A: 1. f(x)=sinx22. f(x)=sin4x

Q: What is the derivative of f(x)=sec^-1 (e^x)?

A: fx=sec-1ex

Q: find f'la) f(x)%3D(X

A: The given function is: f(x)=x-1x2

Q: Let f(x) = 2^x and g(x) = cos(x). Over what intervals is f(g(x)), x ≥ 0 decreasing? Show your work…

A: Let  and . Over what intervals is ,  decreasing?Show your work or explain your reasoning.

Q: Evaluate the integral. 3π/4 45) ³7/4 4 sec 0 tan 0 de -π/4

A:

Q: the derivative of a function f is given by f'(x)=((x^4)-1)/x^2. if f(1)=2, what is the value of…

A:

Q: If f(x) = /x – 1, which shows fx)?

A:

Q: Please don't use generated AI

A:

Q: 1. Determine f'(x) for the following functions: f(x) = (x2 – 3x)5 b. f(x) = V1-x²

A:

Q: Let f(x)=sqrt[x]+1/sqrtx what is f'(4)

A:

Q: f(x)= (x^3 +x)^4  a. find f'(x)    b. Find f''(x)

A: Given function

Q: If f(x)=12pi^7, then what is f'(x) equal to?

A: We are given  f(x) = 12pi^7 derivative of constant is zero

Q: e -e Vx x +0 Let f(x) = D3 /x +eVr x =0 xDx 0.

A: We can find the function f(x) is continous or not and differentiable or not by following the below…

Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: Use the Product and Quotient Rules as necessary to find the derivative of f(x) = 7x cos(x) %3D (Use…

A: Given: f(x)=7x2cosx Now,       f'(x)=7x2cosx'        =7x2'cosx+cosx' x2       =72xcosx+-sinxx2…

Q: Calculus Question

A:

Q: If f'(x) = (x - 2)ex, then the function f is increasing on the interval (-∞, 2). Select one: O True…

A: Given query is to find statement is true or false.

Q: What is the value of f' () if f(x) tan x 1 1+ 2 Option 1 Option 2 1- 2 2 O Option 3 O Option 4 EIN…

A:

Q: Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

A: Question- Find f'(x) if f(x)= 5sin^2(4x^2-5x+1)

Q: Find f'(x) if f(x)=sin^-1 (x-1/x+1)

A: We have to find

Q: If ƒ(x) = (x² + 4x + 8)², then f'(x) = f'(3) = places) (round to 3 decimal

A: f(x)=x2+4x+82 f'(x)=ddxx2+4x+82   Let, g(x)=x2+4x+8 So, the function can be written as:…