Symbolic d/dx with every rule application shown — power, product, quotient, and chain rule — plus an interactive tangent-line explorer on a live graph.
Tip: use samples, upload, copy, download, and send-to actions inside the workspace where available.
Derivative Step Calculator performs symbolic differentiation and names the rule at every stage — power, product, quotient, chain — so the output is a worked solution rather than an answer. The tangent-line explorer alongside it connects the symbolic result to its meaning: move the point along the curve and watch the tangent's slope match the value the derivative predicts at that x.
Supported: + - * / ^, sin cos tan, exp or e^x, ln, log (base 10), sqrt, constants pi and e. Implicit multiplication works: 3x, 2sin(x), (x+1)(x-2).
Teal: f(x). Amber: f′(x). Dashed red: tangent to f at x₀ — its slope equals f′(x₀). Gaps mean the function is undefined there.
Indented steps solve the inner pieces required by the step above them.
