Symbolic Differentiation

Differentiate mathematical expressions with respect to any variable. Supports elementary functions, products, quotients, and compositions.

ƒ Expression

f(x) =

Differentiate with respect to

Order

d/dx Result

Enter an expression and click Differentiate.

Technical Description & Theory

Symbolic differentiation produces exact derivative expressions, essential for deriving governing equations and sensitivity analysis.

Implements linearity, product rule, quotient rule, and chain rule recursively on expression trees.

f(x) = sin(x²)·exp(−x). f'(x) = e^{−x} [2x cos(x²) − sin(x²)].