📋 Formula sheet
All formulas with illustrations — print and hang on the wall!
∫ Calculus
Differentiation rules
(xⁿ)' = n·xⁿ⁻¹
Power rule
(c)' = 0
Constant
(eˣ)' = eˣ
Exponential
(ln x)' = 1/x
Natural log
(sin x)' = cos x
Sine
(cos x)' = -sin x
Cosine
(u·v)' = u'v + uv'
Product rule
(u/v)' = (u'v-uv')/v²
Quotient rule
Integration rules
∫ xⁿ dx = xⁿ⁺¹/(n+1) + C
Power rule
∫ k dx = kx + C
Constant
∫ eˣ dx = eˣ + C
Exponential
∫ₐᵇ f(x) dx = F(b)-F(a)
Definite integral