# Graphing The Derivative of a Function

Remember: The derivative of a function

*f(x)*at*x*=*a*, if it even exists at*x*=*a*, can be geometrically interpreted as the slope of the tangent line drawn to the graph of*f*at the point (*a, f(a))*. Hence, the y-coordinate (output) of the pink point = the slope of the tangent line drawn to the graph of*f(x)*at the**BIG BLACK POINT**. (Note that the**pink point**and the**BLACK POINT**always have the same x-coordinate.) By calculating the slope at several values, we can trace the graphs of f'(x).## New Resources

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