# ALTERNATE LIMIT DEFINITION OF DERIVATIVE WORKSHEET

To find the derivative of the function f(x) at a point x = a, we will use the alternate limit definition.

Problem 1 :

The alternate definition of the derivative at the point x = a is

use the alternate definition to find f'(4) if f(x) = 8x - 7

Solution

Problem 2 :

Use the alternate definition to find f'(1) if f(x) = x3

Solution

Problem 3 :

Use the alternate definition to find h'(2), where

h(x) = x3 + x2 - x

Solution

Problem 4 :

Use the alternate definition to find f'(6), where

f(x) = 9x + 18

Solution

Problem 5 :

Use the alternate definition to find f'(-5), where

f(x) = -2x2 + 4x + 1

Solution

Problem 6 :

Use the alternate limit definition to find g'(-2), if

g(x) = 6x2 - 8x + 3

Solution

1)  8

2)  3

3)  15

4)  9

5) 24

6)  -32

## Recent Articles

1. ### Finding Range of Values Inequality Problems

May 21, 24 08:51 PM

Finding Range of Values Inequality Problems

2. ### Solving Two Step Inequality Word Problems

May 21, 24 08:51 AM

Solving Two Step Inequality Word Problems