Derivative Calculator
Differentiate any function step by step: first to nth order and partial derivatives, simplified result, value at a point and a plot of f and f'.
Graph of f and its derivative
Drag to pan, scroll or pinch to zoom, hover or tap a curve to trace it, click a gray point to pin its coordinates.
Step-by-step solution
About Derivative Calculator
The derivative calculator differentiates functions symbolically and explains every step: sum, constant multiple, power, product, quotient and chain rules, plus exponential, logarithmic, trigonometric, inverse trigonometric and hyperbolic derivatives.
It handles higher orders (second, third up to tenth derivative), partial derivatives when the expression has several letters, and implicit differentiation when you type an equation such as x² + y² = 25. Results are simplified, and rational functions are combined into a single fraction.
Give a point to evaluate f and its derivative there and to get the tangent line. The graph shows f, its derivative and the tangent, with roots and extrema marked. Everything runs in your browser.
How to use Derivative Calculator
- Type the function, for example x^3 sin(x) or ln(x^2 + 1).
- Choose the variable when there are several letters, and the order of the derivative.
- Optionally enter a point such as x = 2 to evaluate the derivative and get the tangent line.
- Read the simplified derivative and open the step list to see which rule was applied where.
- Use the graph to compare f and its derivative, or copy the result as text or LaTeX.