1. Warm Up 1)Evaluate: arccos (- ½ ) 2)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.

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

4. Determine the derivative 3arccos (x 2 )

5. Determine the derivative arctan

6. Determine the derivative arcsec ( )

7. Determine the derivative arctan (cosx)

8. Determine the derivative x 3 arccsc (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.