Trig Derivatives and Integrals

Derivative of tan x

sec²x

Derivative of cot x

-csc²x

Derivative of sec x

sec(x)tan(x)

Derivative of csc x

-csc(x)cot(x)

Derivative of n(a^x)

n(a^x)(ln|a|)

Derivative of log (base a) x

1/((ln|a|)x)

If h(x) = the invese of f(x), what is h’(x)

1/(f’(h(x))

Derivative of sin^-1(x)

1/(sqrt(1-x²))

Derivative of cos^-1(x)

-1/sqrt(1-x²)

Derivative of tan^-1(x)

1/(1+x²)

Integral of sin x

-cos(x) + C

Integral of cos (x)

sin(x) + C

Integral of sec(x)tan(x)

sec(x) + C

Integral of csc²(x)

-cot(x) + C

Integral of sec²(x)

tan(x) + C

Integral of csc(x)cot(x)

-csc(x) + C