Function & Operation Rules

Inverse sin

Inverse sin

cosx

Inverse cos

-sinx

Inverse tan

sec²x

Inverse sec

sec(x)tan(x)

Inverse csc

-csc(x)cot(x)

Inverse cot

-csc²x

Product Rule f(x) * g(x)

f’(x) * g(x) + f(x) * g’(x)

Quotient Rule f(x)/g(x)

((f’(x)g(x)) - (f(x)g’(x)))/g²x

Chain Rule f(g(x))

f’(g(x)) * g’(x)

Exponent Rule a^x

ln(a) * a^x

Log Rule log_a(x)

1/ln(a)*x