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Derivatives

Derivatives

Finding Derivatives Using Formulas Exercises

Example 1

Using the limit definition, what is f ' (0) if f(x) = x2?

Example 2

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

Example 3

Using the limit definition of the derivative, what is f ' (1) if f(x) = x3?

Example 4

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

Example 5

Using the limit definition to find the derivative, if it exists, what is f ' (1) if ?

Example 6

Using the limit definition to find the derivative, what is f ' (0) when ?

Example 7

Using the limit definition to find the derivative, what is f ' (0) when f(x) = x1/3?

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