Mathematics Cheat Sheet
Exponents
Product
ax × ay = ax + y
Quotient
ax ÷ ay = ax - y
Power
axy = ax × y
Logarithms
Product
log(a×b) = log(a) + log(b)
Quotient
log(a÷b) = log(a) - log(b)
Power
log(axy) = y × log(ax)
Derivatives
Power
xa → a×xa−1
Logarithm
logax → 1/(x×ln(a))
Constant to a Power
ax → ln(a)ax
Product
uv → uv' + vu'
Quotient
uv → (vu' − uv') / v2
Chain Rule
f(g(x)) → f`(g(x))g`(x)
Sin
sin(x) → cos(x)dx
Cos
cos(x) → −sin(x)dx
Tangent
tan(x) → sec2(x)dx
Volume
Volume
2 pi integral a b xf(x)dx