FINDING THE DERIVATIVE USING THE LIMIT DEFINITION WORKSHEET

Problem 1 :

Use the limit definition of a derivative to find f'(x) if 

f(x) = 2x2 - 3x + 1

Solution

Problem 2 :

Use the derivative using the limit definition to the derivative to find f'(2) if

f(x) = √(2 - x)

Solution

Problem 3 :

Use the limit definition of a derivative to find f'(x) if

f(x) = √(2x - 1)

Solution

Problem 4 :

Use the limit definition of a derivative to find f'(3) if

f(x) = 2/(5 - x)

Solution

Problem 5 :

Use the limit definition of a derivative to find f'(x) if

f(x) = x2 - 4x

Solution

Problem 6 :

Use the limit definition of a derivative to find f'(x) if

f(x) = x3 + 5x2 - 4

Solution

Answer Key

1) 2x - 3 

2)  -1/2

3)  1/√(2x - 1)

4)  1/2

5) 2x - 4

6)  3x2+ 10x

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