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Derivatives

Derivatives

Example 1

Using the limit definition, find f'(0) if f(x) = x2.

Example 2

Using the limit definition, find f'(-1) if f(x) = 1 - x2.

Example 3

Using the limit definition, let f(x) = x3. Find f'(1).

Example 4

If it exists, use the limit definition to find the derivative of f'(-1) if f(x) = x2- x.

Example 5

Use the limit definition to find the derivative, if it exists: f'(1) where .

Example 6

Use the limit definition to find the derivative, if it exists: f'(0) where .

Example 7

Use the limit definition to find the derivative, if it exists: f'(0) where f(x) = x1/3.

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