Differentiation Calculator (steps, tangents, numeric)

Compute symbolic and numeric derivatives side by side, keep the tangent line in view, and review a live “How it's calculated” log. Supports n-th derivatives, partial derivatives, implicit functions, and parametric curves for fast classroom demos or self-study.

Other languages: ja | en | zh-CN | es | pt-BR | id | vi | ko
Mode


Angle unit

Results

Symbolic:

Numeric (evaluated):

Tangent:

This tool is provided for educational purposes. Double-check expressions before citing them in coursework.

How it's calculated

    Graph & tangent

    Teacher notes

    FAQ

    How are the steps shown?

    Every symbolic rule (product, quotient, chain, power) and the numeric central-difference plus Richardson extrapolation stages are logged and kept visible next to the result for quick review.

    Does it cover partial and implicit differentiation?

    Yes. Partial derivatives display ∂f/∂x and ∂f/∂y simultaneously, and implicit mode computes F_x and F_y so that dy/dx = -F_x/F_y alongside numeric evaluation and tangent equations.

    Need integration steps too?

    Use the Integration Calculator to run numeric integrals, basic indefinite forms, applications, and probability CDFs with step-by-step logs that complement this differentiation view.

    Related calculators