f(x) = O (x) = x? O f(x) = 0 O f(x) = VT f(2) = 1 O f(x) = |æ| O f(x) = x

Q: f(x) = 3x + 21, -3<x<0

A:

Q: Find the function f (x) for which f (x) = e-5x, f (0) = 1.

A: A function is a relation which maps each value in its domain to exactly one value in its range. For…

Q: Find f-1(x) f(x)=(e-x)/x

A: Given, f(x)=(e-x)/x To find f-1(x)

Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: f(x)=1/x+7 f-1(x)=

A: Given function is

Q: Suppose that f(x)f(x) is a function with f(90)=64 and f′(90)=4 Estimate f(92) f(92) =

A: Use the information on f(x) and f'(x) at x=90 to find the approximate value of f(92) (using…

Q: Find f(x)dxif 5 | f(x)dx = -8 and / f(x)dx = 3 6. | f(x)dx = i

A: Solve the following

Q: f(x) = In(5 + 4x)

A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

Q: Let f (x)  =  { 8x x  ≤  12 −4x + 144 x  >  12 Evalute  36 ∫ 0f (x) dx.

A:

Q: x -> 0

A:

Q: Approximate f(3) centered at 0 of f(x) = 2x³ + 3x² + x - 1. %3D

A:

Q: 1 f (x) =

A:

Q: x +1 dx x(x² + 4)' (f) | #(2² + 4) ع و ش

A:

Q: Find f (x). f(x) = 2 In (1 + 7x?) f(x) = %3D

A: f(x)=2ln(1+x2 ) Differentiating w.r.t x both sides, we have f'(x)=2ddx (ln(1+x2))…

Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

A:

Q: Let h(x)=f(g(x)). If g(3)=−4, g′(3)=5, f(−4)=−6, and f′(−4)=4, find h′(3). Do not include "h′(3)="…

A: We have to find derivative of h(x) at x=3 .Information is given below:

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

A: f′(x)=5x,f(16)=49

Q: etermine the intervals where the function f(x) = x 2 e −x is increasing and where it is decreasing

A: Determine the intervals where the function f(x) = x 2 e −x is increasing and where it is…

Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x

Q: Find f′​(x).   ​f(x)=5x−1         7x+9 f′​(x)=

A: The given function is fx=5x-17x+9 So, the value of f'(x)=df(x)dx Using the uv form of the…