Chain Rule, Trig Derivatives, and Unit Circle

pi/6

sqrt(3)/2, 1/2

pi/4

sqrt(2)/2, sqrt(2)/2

pi/3

1/2, sqrt(3)/2

2pi/3

-1/2, sqrt(3)/2

3pi/4

-sqrt(2)/2, sqrt(2)/2

5pi/6

-sqrt(3)/2, 1/2

7pi/6

-sqrt(3)/2, -1/2

5pi/4

-sqrt(2)/2, -sqrt(2)/2

4pi/3

-1/2, -sqrt(3)/2

5pi/3

1/2, -sqrt(3)/2

7pi/4

sqrt(2)/2, -sqrt(2)/2

11pi/6

sqrt(3)/2, -1/2

Derivative of sinx

cosx

Derivative of cosx

-sinx

Derivative of tanx

sec²x

Derivative of cscx

-cscxcotx

Derivative of secx

secxtanx

Derivative of cotx

-csc²x

F(x) = f(g(x))

F’(x) = f’(g(x))g’(x)

F(x) = (g(x))^n

F’(x) = n(g(x))^(n-1)g’(x)