Find derivatives using the definition of slope

Question 1

Find the derivative of g(x)= 5(2x+3x2), using definition of derivatives.

Accepted Answer

g'(x)=10+30x

Question 2

If g(x)= x4+3x3++5x2+7x+1 find g′(x) using the definition of derivatives.

Accepted Answer

g′(x)= 4x3+9x2+10x+7

Question 3

What is the formal definition of a derivative?

Accepted Answer

B

Question 4

Which of the following correctly shows the derivative of f(x)=x2 +8x+10?

Accepted Answer

C

Question 5

If f(x)= 1/x +3x2,, what is f'(0) ?

Accepted Answer

DNE

Question 6

Which of the following correctly shows the derivative of f(x) = 3/(x+2)2 ?

Accepted Answer

D

Question 7

Which of the following correctly shows the derivative of f'(x)= 5/x ?

Accepted Answer

A

Question 8

If g(x)= 6/x + 1 , find g'(x) and g'(5)

Accepted Answer

g'(x)= -6/x2 ; -6/25

Question 9

Find the slope of the line tangent to f(x)= (2+x)/(4-x) at (5,6), using def. of derivatives

Accepted Answer

6

Question 10

What is another formula that can be used to find the derivative of a function?

Accepted Answer

A

Questions 10