Derivative Rules

d/dx \[c\] =

(c is any real number)

0

d/dx \[mx\] =

m

d/dx\[x^n\]

nx^(n-1)

d/dx \[cf(x)\] =

c is any real number

cf’ (x)

d/dx \[f(x) ± g(x)\] =

f’(x) ± g’(x)

d/dx \[f(x)g(x)\] =

g(x)f’(x) + f(x)g’(x)

d/dx\[f(x)/g(x)\] =

(g(x)f’(x)-f(x)g’(x))/\[g(x)\]^2, g(x) cannot be 0

d/dx \[sinx\] =

cosx

d/dx \[cosx\] =

\-sinx

d/dx \[tanx\] =

sec^2 x

d/dx \[cotx\] =

\-csc^2 x

d/dx \[secx\] =

secxtanx

d/dx \[cscx\] =

\-cscxcotx