Derivative: d/dx (xⁿ) = nxⁿ⁻¹

↳d/dx(x⁵) = 5x⁴

Product rule: (uv)' = u'v + uv'

↳d(x²·sin x) = 2x sin x + x² cos x

Chain rule: (f(g(x)))' = f'(g(x))·g'(x)

↳d(sin(x²)) = 2x cos(x²)

Integral: ∫ xⁿ dx = xⁿ⁺¹/(n+1) + C

↳∫ x² dx = x³/3 + C

Fundamental thm: ∫ₐᵇ f'(x)dx = f(b) − f(a)

↳∫₀¹ 2x dx = [x²]₀¹ = 1