Calculus - General Derivatives

General formulas, Exp/log functions, Trig functions, Inverse Trig funtions

d/dx (c) =

0

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

cf’(x)

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

f’(x)+g’(x)

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

f’(x)-g’(x)

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

f(x)g’(x)+g(x)f’(x)

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

(g(x)f’(x)-f(x)g’(x))/\[g(x)\]^2

d/dx f(g(x))=

f’(g(x))g’(x)

d/dx (x^n)=

nx^(n-1)

d/dx (e^x)=

e^x

d/dx (a^x)=

a^(x)lna

d/dx ln(x)

1/X

d/dx loga(x)=

1/(xlna)

d/dx sin(x)=

cos(x)

d/dx cos(x)=

\-sin(x)

d/dx tan(x)=

sec^2(x)

d/dx csc(x)=

\-csc(x)cot(x)

d/dx sec(x)=

sec(x)tan(x)

d/dx loga(x)=

\-csc^2(x)

d/dx csc^-1(x)=

1/√(1-x^2)

d/dx cos^-1(x)=

\-1/√(1-x^2)

d/dx tan^-1(x)=

1/1+x^2

d/dx csc^-1(x)=

\-1/(x√x^2-1)

d/dx sec^-1(x)=

1/(x√x^2-1)

d/dx cot^-1(x)=

1/(1+x^2)