11B Derivatives Trig

1

Derivatives of Trigonometric Functions

11B Derivatives Trig

2

Use the definition of the derivative to find Dx(sin x).

The derivative of f(x) = sin x

11B Derivatives Trig

3

The derivative of f(x) = cos x

11B Derivatives Trig

4

Here is a graph of y = tan x (black) and its derivative (green). Can you guess what its derivative might be?

11B Derivatives Trig

5

EX 1 Find y' for these functions.

a)

b)

11B Derivatives Trig

6

c)

d)

11B Derivatives Trig

7

EX 2 Find the equation of the tangent line to y = cot x at x = π/4

11B Derivatives Trig

8