3.6 Trigonometric Functions Wed Oct 21 Do Now Find the y’’ and y’’’ 1) 2)

HW Review: p.163 #

Trig Derivatives Use the limit definition to find d/dx sinx

D/dx sin x and cos x Using the limit definition, the derivatives are

D/dx other trig functions Using the Quotient Rule, the other trig derivatives can be derived:

Proof of one Pick a trig to prove

Ex Find the 9’th derivative of sin x

Ex 2 Find the tangent line to the graph of y = tanx secx at x = pi/4

Closure Find the 55th derivative of cos x HW: p.167 #1-45 odds Quiz Fri

Review Thurs Oct 22 Do Now Find the the derivative of each function 1) y = sinx cosx 2) y = x^2(tanx)

HW Review

Review Derivative Rules –Power Rule, e^x –Product / Quotient Rules –6 Trig Rules Derivative Applications –Tangent Lines –Rates of Change –Higher Derivatives (Velocity, Acceleration)

Quiz 7 questions - 50 pts Derivative Rules Most questions are applications –Tangent Lines –Rates of change

Closure Of the 6 sections so far, which of the 6 seem most interesting? Why? Quiz tomorrow