Math
Derivative Calculator
Differentiate functions symbolically with rule-based steps, compute higher-order and partial derivatives, evaluate at a point, and generate derivative tables for analysis.
Derivative & Slope Estimator
Enter a function, choose variable and order, and get a symbolic derivative with readable steps plus an optional evaluation and table export.
Core rules: constant rule, power rule, sum rule, product rule, quotient rule, and chain rule.
Common derivatives: d/dx(sin x)=cos x, d/dx(cos x)=−sin x, d/dx(tan x)=sec²x, d/dx(ln x)=1/x,
d/dx(exp x)=exp x, d/dx(a^x)=a^x ln(a), d/dx(sqrt x)=1/(2 sqrt x).
Input syntax: use x^2 for powers, sin(x), cos(x), tan(x), ln(x), exp(x), sqrt(x).
Use * for multiplication when needed (2*x). Use parentheses for grouping.
Scope: This tool focuses on common calculus expressions and practical step output. Very advanced symbolic simplification is limited by design.