ALTERNATE LIMIT DEFINITION OF DERIVATIVE WORKSHEET

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