4) IF F(2) = 20 and F'(x) 24 for all valves OF X, how small can F(5) Possibly be? Use mean value definition

Q: If f(x) = (x + 1)²(x+2), find f'(0)

A:

Q: Let F(x) = f(xf (x²)). Suppose that ƒ(4) = 6, ƒ'(4) = 1, and ƒ'(12) = 5. Find F'(2).

A: Given, .Given,  f(4)=6, f'(4)=1 and f'(12)=5.

Q: Differentiate. f(x) = In f'(x) = .6 x 100 8

A:

Q: Consider the function h(x), for which h(2) = − 1 and h'(2) = -6. Find f'(2) for the function f(x):…

A:

Q: f(x) = xe (1+e*)

A:

Q: Let z +1 f(x) x + 10 f'(- 7) =

A:

Q: Find f such that f'(x) = f(x) = √x¹ f(1) = 13. ***

A:

Q: Find f'(-1) for f(x) = 2x, Express in exact form?

A:

Q: fx) = (4x² + 3x"²) e*. %3D Do you think that the domain of f'(x) is the same as the domain of f(x)?…

A:

Q: If interest in a bank account is compounded continuously, the amount grows at a rate that is…

A: Solution: Given data, Initial amount P = $1000 rate r= 5% = 0.05 According to continuously…

Q: Find f x) and f xof fCx) = 11x³

A:

Q: f'(x) = Differentiate the function f(x)=x197 +19.7.

A: Explanation of the answer is as follows

Q: If f(x)=5+2(x-1)^1/2, does f(x) satisfy all the conditions of the mean value theorem in the interval…

A:

Q: if f(1) = 10 and f'(x) = 2 for 1≤ x ≤4, how small can f (4) possibly be?

A:

Q: Determine the following function is differentiable F (z) = e¯²

A: Cauchy-Riemann Equations: The function fz=ux, y+i vx, y satisfies the Cauchy-Riemann equations if…

Q: Differentiate. f(x) = In f'(x) = X 6

A:

Q: Let/be differentiable for all x, lff(1) = - 2 and f'(x) 22 for all xe (1, 6), then find the range of…

A: f(1)=-2  f'(x)>=2  for 1<x<6

Q: Differentiate. f(x) = In (In (In (7x))] f'(x) =D

A: Find f'(X)

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

A:

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

A: Given function

Q: 1. Differentiate the following f(x) = (2x) (e4x)

A: f(x)= 2xe4x Find f'(x)

Q: explain how to find the greatest values for f(x) and least values for f(x). given the f’(x) above…

A: we have to explain that how to find the maximum and minimum values by the help of the given…

Q: True or false: If f is a differentiable function, then de [f(x³)] = f'(3x²) dx

A: The objective of the question is to verify the given statement about the derivative of a function…