Derivative Rules & Functions

Calculus I

Product Rule

(g * f’) + (f * g’)

Quotient Rule

[(g * f’) − (f * g’)] / g²

Chain Rule

f’(g) * g’

Derivative of sin(x)

cos(x)

Derivative of cos(x)

−sin(x)

Derivative of tan(x)

sec²(x)

Derivative of cot(x)

−csc²(x)

Derivative of sec(x)

sec(x)tan(x)

Derivative of csc(x)

−csc(x)cot(x)

Derivative of tan⁻¹(x)

1 / (1+x²)

Derivative of eⁿ

eⁿ

Derivative of ln|x|

1 / x

Derivative of sinh(x)

cosh(x)

Derivative of cosh(x)

sinh(x)

Derivative of tanh(x)

sech²(x)