Find f'(x) for each of the following:« d Ax) = 2x(x + 1)² Ax) = 2x² – x4 1 Ax) = – 3xe e f

Q: If f(x) = 8x + 2 x² + 7 find f'(x).

A: In this question, we will find the derivative of the function.

Q: Find f. f '(x) = √(x) (3 + 10x), f(1) = 11 f(x) =

A: Consider the given function as f'x=x3+10x,f1=11

Q: Differentiate

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Differentiate f(x)=1/x  - 6sqrt(x)

A: See the steps below and work out the steps as shown and the explanation is also shown below inside…

Q: The inverse of the function f(x)=3x−4 is f^−1(x)=

A:

Q: Find ƒ(x) if ƒ'(x) = 3x² - 4x + 4 and ƒ( − 1) – – 4. ƒ(x)

A: F

Q: Find(f ^−1)'(a).f(x) = 4x^3 + 4x^2 + 7x + 2, a = 2(f ^−1)'(a) =

A: Here a function f(x) is given and value of a is given we need to find the derivative of inverse of…

Q: a. f(x) = 4x + 11 find: f'(-2) b. f(x) = 2x2-5x 3 find: f'(2)

A: Given: f(x)=4x+11 f(x)=2x2-5x-3

Q: Find the function f(x) if f'(x) = ex+ 2 +(3/x) and f(1) = 6

A: We have to find the integral of f'(x) to obtain f(x) Steps: 1. Integrate with respect to x 2. Apply…

Q: Find f(x) if f' (x) = x5 - 7 divided by x5 , and f(2) =4

A: Given, f'(x)=x5-7 divided by x5and f(2)=4f'(x)=x5-7x5f'(x)=1-7x5—(1)

Q: Find f'(x) if f(æ) = (x³ + 2x – 5)(3x-3+x-4).

A:

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: 3 find f'(x). x2 7 If f(x) = 7+ -+

A:

Q: If 11+2 f(x) + x²(f(x))³ = 0 and f(3) = -1, find f'(3). f'(3) =

A:

Q: b. If x = t- 3, find L[(xe

A: Consider the given information. Lxe-x Put the value in the function. Lxe-x=Lt-3e-t+3=Lte-te3-3e-te3

Q: 4x + 2x - If f(x) = | find f'(x) x4

A: Given that, f(x) = (- 4x5 - 4x4 + 2x3) / x4 And we have to calculative the first derivative of the…

Q: Find f    if  f'(x) = 7x9 − 5 √x + 3 sin x,   f(0) = 4

A:

Q: Given f(x)=(6x+9)^4, what is f'(x) when x=19?

A:

Q: Suppose g(x) = 3 + x/2x − 3. Evaluate g^−1(−1).

A:

Q: Find f. f(x): = f"(x) = -2 + 30x - 12x², f(0) = 5, f'(0) = 12

A:

Q: Find f. f ''(x) = 20x3 + 12x2 + 4,    f(0) = 6,    f(1) = 1 f(x) =

A: According to question,Given Derivative,f''x = 20x3 + 12x2 + 4,f0 =6,f1 = 1

Q: Evaluate the integral. 4 1 dx 2x Ji

A:

Q: Compute the power series expansion, and clearly indicate the region. (a) f(z) = in powers of z. %3D…

A: We can solve this question using definition of power series

Q: 2x + 3 f(x) = In %3D 7r – 7 f'(x) =

A:

Q: Find f if f'(x)=20x^3+4x+4 and f(1)=-2

A: Given,           f'x=20x3+4x+4  and f1=-2

Q: If 82+5f(x)+x^2(f(x))^3=0 and f(3)=-2, find f’(3)

A:

Q: Find f'(x) if f(x) = -7x5 +4√x. f'(x) =

A: To find derivative f'(x)

Q: find f'(x) for f(x)= (5x-2)3 (1-x3)4

A: It is given that the function is

Q: If f'(x) = 5x* – 3x2 + 4 and f(-1) = 2, then find f (x).

A:

Q: Find f' (x) for ƒ (x) = 8x° – 3e".

A: Given : fx = 8xe - 3ex

Q: Find f. f ''(x) = 4 + 6x + 24x2,    f(0) = 5,    f (1) = 14

A: To find out the function f whose double derivative and some initial conditions are given.