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

Q: 3x2 + 7x + 2 Let f(x) : Find the following: F'(x) = f'(16) =

A: Here we have been given that f(x)=3x2+7x+2x-(i)Our Aim is to find f'(x) and f'(16)=?

Q: If ƒ(x) = 4x² – 5eª, find: ƒ'(x) = f'(1) = ƒ''(x) = f''(1) =

A:

Q: f(x) = (6x – 4)* - (4x² + 5)³. f'(x) =

A: Using product rule and chain rule of derivative,

Q: (2x + 1)3 (1- 4x)2' find f'(x) and fully simplify. If f (x) =

A: fx=2x+131-4x2f'x=ddx2x+131-4x2

Q: Let x + 4 f(x) x + 9 f '(- 1) =

A:

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 ¹)'(a). (F-¹)(a) = f(x) = 4x³ + 3x² + 5x + 9, - 3x² + 5x+9, a=9

A:

Q: 3x + 6 If f(x) find: 2x +2 f'(x) = f'(3) =

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'(x) and simplify. x²+2 7x-8 f(x) = Which of the following shows the correct application of…

A: I have explained everything with in the solution. Please go through that.

Q: Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) Identify x-values…

A:

Q: find f(x) if f'(x) = 9 / (1 - x2) and f(sqrt 3) = 4

A:

Q: Find (f-¹)'(a). f(x) = 2x³ + 3x² + 4x + 2, (f-¹)'(a) = a = 2

A:

Q: Let f (x) = √√x² +8. f'(x) = f'(2) = Number f"(x) = f" (2) = Number

A:

Q: f(x) = 3x² (1 + 7x-3

A: The given function is:fx=3x21+7x-3

Q: X=(1)+ wam (xf pulf Z-x7=(x)₂ + £I-E#

A: Topic = Integration

Q: Find (f ¹)'(a). f(x) = √ 3x³ + 3x² + 2x + 1, (f−¹)'(a) = X a = 3

A:

Q: Find f(x). -12x-3 f(x) = 3x - 12x 413 f''(x) =

A:

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

A:

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

A:

Q: Let f(x) = (2x²+6) (-8x²+2) 15 f'(x) =

A:

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

A: It is given that the function is

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: Determine f '(x) for f (x)=(3x2+1)2

A: It is known that the chain rule is a formula for computing the derivative of the composition of two…

Q: f(x) = (x³ + 2x + 7)4 f' (æ) = f' (5) =

A: Consider the given function: fx=x3+2x+74 Differentiate the function using chain rule which is given…

Q: Find (f-1)'(a). f(x) = 4x3 + 3x² + 5x + 2, a = 2 (f-1)'(a) =

A:

Q: find f'(x) for f(x)= (2x-1)4 (3-x5)4

A: f(x)= (2x-1)4 (3-x5)4Let (2x - 1) = u and (3-x5) = vHence, du/dx = 2 and dv/dx = -5x4Also, f = u4v4…

Q: 4x 6x + 7x 3 If f(x) find f'(x) 24

A: f(x)=xn f'(x)=nxn-1 f(x)=1 f'(x)=0 f(x)=4x5-6x4+7x3x4

Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

A:

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

A:

Q: Find f(x) if f"(x) = 24x²+2x+8, f(0) = 5, f'(1) = -2.

A:

Q: Let f(x) = = 2x³ - 5x² √√x² (a) ƒ'(1) = −2 3 (b) ƒ'(6) = 64√√6 Evaluate f'(x) at the following…

A: