Section 3.5b

Recall from a previous math life… Because sine and cosine are differentiable functions of x, the related functions are differentiable at every value of x for which they are defined. Let’s find their derivatives…

Derivative of Tangent

Derivative of Cotangent

Derivative of Secant

Derivative of Cosecant

Derivatives of the Trigonometric Functions

Practice Problems Find if

Practice Problems Find if

Practice Problems Find if

Practice Problems Find the points on the curve,, where the tangent is parallel to the line. Here, we need In the given interval: The points:

Practice Problems p.140: #22 (a) Slope at P: Tangent Line:

Practice Problems p.140: #22 (b) Let slope = 0: Find the y-coordinate: Point Q: Tangent Line:

Practice Problems p.140: #24 (a) Velocity: Speed: Acceleration: Jerk:

Practice Problems (b) Velocity: Speed: Acceleration: Jerk: (c) The body starts at 1, goes to, then oscillates between p.140: #24