Engng Math 115 Derivatives

Derivatives of sinx, cosx, tanx

cosx

-sinx

sec²x

Derivatives of cscx, secx, cotx

-csc(x)cot(x)

sec(x)tan(x)

-csc²x

Derivative of a^f(x)

a^f(x) ln(a) f’(x)

Derivative of e^f(x)

e^f(x) f’(x)

Derivative of ln(f(x))

f’(x) / f(x)

Derivative of log_ax

1 / xln(a)

Derivative of f^-1(x)

1 / f’(f^-1(x))

Limit to f’(x)

Limit to f’(a)

Differentiation rules

Implicit differentiation

Chain rule

Differentiation

d/dx kxⁿ = knx^n-1

Riemann sum