Secant Lines and Tangent Lines
Definition of the Derivative, Tangent Lines, and Normal Lines
Derivatives of Trigonometric Functions
Connecting f' to f: Increasing/Decreasing Intervals & Relative Extrema
Students will be able to:
Estimate the slope of a tangent line by finding secant lines
Understand the concept of a derivative
Apply the rules of differentiation to find derivatives algebraically
Power rule
Trigonometric functions
Utilize f'(x) to determine intervals where f(x) is increasing / decreasing
Find relative extrema (maxima and minima)
Compute tangent line approximations