Basic Differentiation Rules

Question 1

Find the derivative of:

Accepted Answer

1/(9∛x2)

Question 2

The quotient rule states that the derivative of f(x)/g(x) =

Accepted Answer

[f'(x)g(x)-f(x)g'(x)]/(g(x))2

Question 3

Find the derivative of:

Accepted Answer

4/√x

Question 4

Find the equation of the line tangent to f(x)=2√x at the point (4,4).

Accepted Answer

y=1/2x+2

Question 5

Find the derivative of:

Accepted Answer

6x-4

Question 6

Find the derivative of:

Accepted Answer

(-x-2)/x3

Question 7

Find the equation of the line tangent to f(x)=2x2-x +2 at the point (1,3).

Accepted Answer

y=3x

Question 8

Find the derivative of:

Accepted Answer

12x-8

Question 9

Find the derivative of:

Accepted Answer

21x2-8x+1

Question 10

What is the derivative of a constant?

Accepted Answer

0

Question 11

The product rule states that the derivative of f(x)g(x) =

Accepted Answer

f'(x)g(x)+f(x)g'(x)

Question 12

Find the derivative of:

Accepted Answer

9

Question 13

Find the derivative of:

Accepted Answer

0

Question 14

Find the equation of the line tangent to f(x)=1/x at the point (2,1/2).

Accepted Answer

y=-1/4x+1

Question 15

Find the derivative of:

Accepted Answer

8

Question 16

Find the derivative of:

Accepted Answer

-6/x4

Questions 16