Duplicate of Derivative Review (Unit 3.1- 3.3)

Question 1

Find d/dz of (z3 -3z2)

Accepted Answer

3z2-6z

Question 2

Find the derivative of sin(x).

Accepted Answer

cos(x)

Question 3

What is d/dx of f(x) = 5x2 -6x2 +2 @ x=8?

Accepted Answer

864

Question 4

Find the slope of the line of f(x) = (2x-1)/(x+2)

Accepted Answer

5x/(x+2)2

Question 5

Find f"(x) for 7x3-10x

Accepted Answer

42x

Question 6

What would be the simplest way to solve d/dx of x3 ?

Accepted Answer

The Power Rule

Question 7

Given f(x) = 1/x and f'(x)= -1/(x)2, what is f"(x)?

Accepted Answer

2x/(x2)2

Question 8

What is the derivative of f(x) = 4x3 -3x2+ 2x - 3

Accepted Answer

f'(x) = 12x2 - 6x +2

Question 9

What is NOT one of the ways to find the derivative of f(x) = 4x5 + 9x3 -3x?

Accepted Answer

The Quotient Rule

Question 10

The path of a ball thrown can be modeled by f(t) = -16t2 +8t+9. What is f"(t) in (m/s2)?

Accepted Answer

-32 m/s2

Question 11

Can you use both the product rule and distributing to find d/dx of x2 (x3+5)

Accepted Answer

Yes, you can use both

Question 12

The power rule can be used to solve f(x) = 10.5ex

Accepted Answer

False

Question 13

Find d/dx of f(x) = 10x3 -5x +9

Accepted Answer

30x2-5

Question 14

What rule(s) can you use to solve g(x) = 25x2/ex ?

Accepted Answer

The Power Rule, The d/dx (ex), The Quotient Rule

Questions 14