Math 1730

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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*