# Calculus Examples

Use the Limit Definition to Find the Derivative
Consider the limit definition of the derivative.
Find the components of the definition.
Evaluate the function at .
Replace the variable with in the expression.
Simplify the result.
Apply the distributive property.
The final answer is .
Find the components of the definition.
Plug in the components.
Simplify.
Simplify the numerator.
Multiply by .