Practice Derivative in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
The instantaneous rate of change of a function at a single point, defined as the limit of the slope of secant lines.
How fast is the output changing right now? The slope of the curve at each point.
Example 1
easyFind the derivative of f(x) = 3x^2 + 5x - 2.
Example 2
mediumFind the derivative of f(x) = x^3 - 4x^2 + 7x and evaluate f'(2).
Example 3
hardUse the limit definition to find the derivative of f(x) = x^2.
Example 4
easyFind the derivative of f(x) = 7x^4 - 2x + 9.
Example 5
hardFind the derivative of f(x) = x^3 \sin(x) - \frac{e^x}{x^2} and evaluate f'(\pi).