Derivative Rules Cheat Sheet
By Dr. Iris Vaughan, Mathematics Editor·Published 1 October 2025·Last reviewed 1 April 2026
All standard derivative rules — power, product, quotient, chain — with the full list of trig, exponential, and logarithmic derivatives.
Key Formulas
d/dx[xⁿ] = nxⁿ⁻¹
d/dx[sin x] = cos x
d/dx[cos x] = −sin x
d/dx[eˣ] = eˣ
d/dx[ln x] = 1/x
Product: (fg)' = f'g + fg'
Chain: d/dx[f(g(x))] = f'(g(x))·g'(x)
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