Consider the function f(x) = = 8 x² 10 190/2 5 x6 Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x)

Q: Consider the function f (x) = 6x² + 4x + 2. Find F(x) so that F' (x) = f(x). %3|

A: f(x)=6x2+4x+2To find: F(x) such that F'(x)=f(x)

Q: find the function f(x) if f'(x)=(2/1+x2)+(5/7)x5/7 and f(0)=2

A: Given, f'(x)=(2/(1+x2))+(5/7)x5/7

Q: Differentiate the following with respect to x: f(x) = x³In (x)

A:

Q: f(x) = 4x In(x), x> 0.

A:

Q: Let f(z) = 11 – z f (z) =

A: To write the inverse of the function y = f(x), we need to rewrite the terms such that we could write…

Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: Use the second derivative to determine f"(4) for the function f (æ) = x² In (x) 2ln(4) +2 3ln(4) +3…

A: Derivative of the function

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

A:

Q: Let f(x) = 4 – a?, a > 0 f- (x) =

A: Given:- f(x) =4-x2  To find:- f-1(x)

Q: 5 Find f such that f'(x) = - √x f(16) = 49.

A: f′(x)=5x,f(16)=49

Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

A:

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A: