1. 3.8 Derivatives of Inverse Trigonometric Functions

2. Derivative of the Arcsine Arcsine is the inverse of sine (sin -1 )

3. Applying the Formula

4. Derivative of the Arctangent Arctangent is the inverse of tangent (tan -1 )

5. A Moving Particle A particle moves along the x-axis so that its position at any time t ≥ 0 is What is the velocity of the particle when t = 16?

6. Derivative of the Arcsecant Arcsecant is the inverse of secant (sec -1 )

7. Using the Formula

8. Derivatives for the Other Three

9. A Tangent Line to the Arccotangent Curve Find an equation for the line tangent to the graph of y = cot -1 x at x = -1. Slope of the tangent line is: So the tangent line has equation

10. More Practice!!!!! Homework – Textbook p. 170 – 171 #2 – 22 EVEN, #37 – 40 ALL.