3.6 Trigonometric Functions Tues Sept 27

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Presentation transcript:

3.6 Trigonometric Functions Tues Sept 27 Do Now Find the y’’ and y’’’ 1) 2)

HW Review

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 #3 11 21 25 31 43 44 47 3.1-3.6 Test Monday

3.1-3.6 Review Wed Sept 28 Do Now Find the the derivative of each function 1) y = sinx cosx 2) y = x^2(tanx)

HW Review

3.1-3.6 Review Derivative Rules Derivative Applications Power Rule, e^x Product / Quotient Rules 6 Trig Rules Derivative Applications Limit definition Tangent Lines Rates of Change (Velocity, Acceleration) Derivatives and Graphs

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