f (x) 9 (x) f' (x) g' (x) 5 -6 1 16 3 3 1 = 4 f² (x) ' |34

Q: If f(x) 3 find f'(2). x²

A: Given that f(x)=3x2So, f(x)=3x-2

Q: Find f"(x), given that f(x) = 8 csc x+x* -7e2x -Vx²

A:

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: For the function, find the following. 7 x5 120 f(x) = 8 + 8x + + %3D 6. 24 (a) f'(x) (b) f"(x)

A: given

Q: 6. 2х — 7 H(x) .2 х? + 3,

A: We will use Chain rule and Division rule of derivative

Q: If f(x) = 3x? – 2e", find: f'(x) = = (x),.

A:

Q: Find f'(x)) D f(x) (2) f(x) 3x³ +5x²12-2 2 6x -3x + 2x12 2

A:

Q: Find (f-¹)'(a). (f-¹)'(a) = f(x) = 4x³+4x² + 5x+7, a = 7

A: I have appended the formula used in the solution part of the question

Q: Find f such that f'(x) = 2x² + 7x-4 and f(0) = 7. f(x) = ...

A:

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

A:

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

A:

Q: Let f(x) = 4x5/4 + 4x3/2 + 8x. Find the following. (a) f '(1)   (b) f '(16)

A: f(x) = 4x5/4 + 4x3/2 + 8xFinda) f'( 1)b) f'(16)

Q: Let ƒ(x) = (7x² − 7)¹ (6x² − 3)⁹ - Find f'(x) = do not oxpand an

A:

Q: For the function, find the following. f(x) = x4 − 6x3 − 7x2 + 4x − 6 (a) f '(x) (b) f…

A: find the given derivative of the function f(x)

Q: Find f'(9) if f(x) = 7x² +6x + 2 √x f'(9)=

A: we know, ddx(xn)=nx(n-1) for any real n

Q: Find the general form of f if f'(x)= 9f(x). f(x) = ]

A:

Q: Find f(x) such that f'(x) = 2x4-7x and f(2)=3

A:

Q: If f(x) = (x2 + 5x + 8)*, then f'(x) = f'(5) =

A:

Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

A:

Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: Write the product as a sum: 18 sin(38z) sin(23z) =

A: The given expression is: 18sin(38z)sin(23z)...(1) Note that the formula used is: 2sin α cos…

Q: Find f such that f'(x) = 2x² + 9x - 8 and f(0) = 9.

A:

Q: Let f(x) = ( – 2° + 2)* (5æ² + 4)" f' (x) =

A: