1. If 2. If f(x) = 5x- 3x² – 2x + 7 f(x) = x* In x find f'(x) and f'(1). find f'(x) and S'(1).

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

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

Q: If f(x) = (2x2 – 5)(2x + 2), find f '(x).

A:

Q: If f(x) 3 find f'(2). x²

A: Given that f(x)=3x2So, f(x)=3x-2

Q: Differentiate. x2 -9 f(x) = In f'(x) = O

A: Explanation: Given that,  f(x)=lnx2-9x

Q: Find f. f "(x) = 5/ /1 - x2, = 2 ()- 2. f(x) =

A:

Q: If f(x) = 5 + 5T. Find f-'(- 5) =

A: The function fx=5+5x3 To find f-1-5

Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

A:

Q: 3. Find f'(x) for f(x) = 3x-4 2x+3

A:

Q: 2. Determine f'(1) for the function f(x) = (8x – 6Vx5 + 3) (x² – 9x² +) -

A: A detailed solution is given below

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: If f(x) find f'(3) =

A: Given that: f(x)=4x2

Q: f f(x) = 3x2 + 2x +1, find f'(2)

A: Given : f(x)=3x2+2x+1 To find out f'(2) , we take derivative Lets find out f'(x) . apply power rule…

Q: Find f. f"(x)  =x6 - 4x4 +x +1

A: ∫xndx = xn+1n+1+C

Q: f(x)= if'(-3)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find f'(16) if f(x) = 7x² + 3x +3 √I

A: To find the derivative of given function

Q: If f(x) = 4, find f'(- 11).

A: The given function is:fx=4To find f'-11

Q: 3. Let f(x) = 4x3+ + 2vx-7. Find f'(x).

A:

Q: – 5x+ 8x4 + 7x3 If f(x) find f'(x) %3D x4

A:

Q: If f(x)=x'2-2x+7 evaluate f(-5)

A: To find f(-5).

Q: If f(x) = (3x + 8), find f'(x). %3D Find f'(1).

A: Note some formule:

Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: 4. Find F'(8) if F (x) = x

A:

Q: If f(x) = (3x + 5)¯², find ƒ'(x). Find ƒʼ(2).

A: As we know that: The Chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1   The given function is:…

Q: If 11 + 2f(x) + æ²(f(x))³ = 0 and f(-3) = –1, find f'(-3). f'(-3) =

A: We have to find f'-3 where it is given that: 11+2 fx+x2fx3=0 and f-3=-1. We know the formula of…

Q: Find f if f'(x) = Va(6+5x) and f(1) = –6. f(x) =

A:

Q: Find f if f' (x) = 12a³ + 14x + 2 and f(1) = 2.

A:

Q: If f(x) = (4x – 2)² - (3x² + 6)", find f'(4).

A:

Q: Find f'(1) for the following. f(x) = 2x² + 3x – 2 -

A: