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Some needed trig identities: Trig Derivatives Graph y 1 = sin x and y 2 = nderiv (sin x) What do you notice?

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Presentation on theme: "Some needed trig identities: Trig Derivatives Graph y 1 = sin x and y 2 = nderiv (sin x) What do you notice?"— Presentation transcript:

1

2 Some needed trig identities:

3 Trig Derivatives Graph y 1 = sin x and y 2 = nderiv (sin x) What do you notice?

4 Proof Algebraically (use trig identity for sin(x + h))

5 Proof Algebraically 0 1

6 Trig Derivatives Graph y 1 = cos x and y 2 = nderiv (cos x) What do you notice?

7 Proof Algebraically (use trig identity for cos(x + h))

8 Proof Algebraically 0 1

9 Other Trig Derivatives (quotient rule) (trig id cos 2 x + sin 2 x = 1)

10 Other Trig Derivatives (quotient rule)

11 Other Trig Derivatives (quotient rule)

12 Other Trig Derivatives (quotient rule)

13 Example Find an equation of the tangent line to the function f(x) = sec x at the point (slope)

14 Example Find the second derivative of y = csc x. (Product rule)


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