y = c

y’ = 0

y = x^(n)

y’ = nx^(n-1)

y = kx^(n)

y’ = k * nx^(n-1)

y = u * v

y’ = u’v + uv’

y = u / v

y’ = (u’v - uv’)/v^2

sin’(x)

y’ = cos(x)

cos’(x)

y’ = -sin(x)

tan’(x)

y’ = sec(x)^2