Definition of Derivative

f ' (x) = lim f(x + x) - f(x)
x->0 x

d(cxⁿ) = cnx^(n-1)dx

d (uv) = uv' + vu'
dx

d u = vu' - uv'
dx v v²

Basic Integration Rules

1. du = u + C

2. a du = a du

3. (du + dv) = du + dv

4. uⁿ du = u^{(n + 1)

-----------------} (n + 1)