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Warm Up

Warm Up. Evaluate: arccos (- ½ ) Write an algebraic expression for tan ( arcsin (5x)). 3) Given f(x) = x 3 + 2x – 1 contains the point (1, 2). If g(x) is the inverse function of f(x), write an equation of the line tangent to g(x) at the point where x = 2.

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Warm Up

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  1. Warm Up Evaluate: arccos (- ½ ) Write an algebraic expression for tan (arcsin (5x)). 3) Given f(x) = x3 + 2x – 1 contains the point (1, 2). If g(x) is the inverse function of f(x), write an equation of the line tangent to g(x) at the point where x = 2.

  2. Derivatives of Inverse Trig Functions

  3. Determine the derivative arcsin (x) 4arcsin x 2x3arcsin x

  4. Determine the derivative 3arccos (x2)

  5. Determine the derivative arctan

  6. Determine the derivative arcsec ( )

  7. Determine the derivative arctan (cosx)

  8. Determine the derivative x3arccsc (5x)

  9. Determine the value of the derivative of y = cos x at x = /3. Determine the value of the derivative of y = arccos x at x = ½. How are these two values related?

  10. Write an equation of the line tangent to the graph of y = arccos (½x) at the point where x = 1.

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