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3.6 Trigonometric Functions Tues Sept 27

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Presentation on theme: "3.6 Trigonometric Functions Tues Sept 27"— Presentation transcript:

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

2 HW Review

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

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

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

6 Proof of one Pick a trig to prove

7 Ex Find the 9’th derivative of sin x

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

9 Closure Find the 55th derivative of cos x
HW: p.167 # Test Monday

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

11 HW Review

12 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

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


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