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3.5 DERIVATIVES OF TRIG FUNCTIONS

3.5 DERIVATIVES OF TRIG FUNCTIONS. Some needed trig identities:. Trig Derivatives. Graph y 1 = sin x and y 2 = nderiv (sin x) What do you notice?. Proof Algebraically. (use trig identity for sin(x + h) ). Proof Algebraically. 0. 1. Trig Derivatives.

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3.5 DERIVATIVES OF TRIG FUNCTIONS

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  1. 3.5 DERIVATIVES OF TRIG FUNCTIONS

  2. Some needed trig identities:

  3. Trig Derivatives • Graph y1 = sin xand y2 = 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 y1 = cos xand y2 = 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 cos2x + sin2x = 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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