Derivative Calculator — Symbolic Differentiation with Steps

Differentiation Rules Reference

Power Rule

d/dx[xⁿ] = n·xⁿ⁻¹

Product Rule

d/dx[fg] = f'g + fg'

Quotient Rule

d/dx[f/g] = (f'g−fg')/g²

Chain Rule

d/dx[f(g)] = f'(g)·g'

sin / cos

d/dx[sin] = cos, d/dx[cos] = −sin

Exponential

d/dx[eˣ] = eˣ

Logarithm

d/dx[ln x] = 1/x

Constant

d/dx[c] = 0