Math 1730

product rule

(f(x)g(x))′ = f′(x)g(x) + f(x)g′(x), where f and g are differentiable

quotient rule

chain rule

0

(sin x)′

cos x

(cos x)′

−sin x

(tan x)′

(cot x)′

(sec x)′

sec x tan x

(csc x)′

−csc x cot x

ax + C

− cos x + C

sec x + C

ln | sec x| + C

ln | sec x + tan x| + C

ln |x| + C

sin x + C

− cot x + C

cot x + C

− csc x + C

ln | sin x| + C

ln | csc x − cot x| + C