derivatives

(sinx)’

cosx

(cosx)’

-sinx

(tanx)’

sec²x

(cotx)’

-csc²x

(secx)’

secxtanx

(cscx)’

-cscxcotx

product rule

f’(x)g(x) + f(x)g’(x)

quotient rule

(f’(x)g(x) - f(x)g’(x)) / (g(x)²)

chain rule

f’(g(x))*g’(x)