Table of contents

6. Derivatives of Inverse, Exponential, & Logarithmic Functions

Derivatives of Inverse Trigonometric Functions

6. Derivatives of Inverse, Exponential, & Logarithmic Functions

Derivatives of Inverse Trigonometric Functions: Study with Video Lessons, Practice Problems & Examples

38PRACTICE PROBLEM

A lighthouse stands $200$ meters tall on a straight coastline, and a ship sails directly toward the lighthouse. Let $θ$ (measured in degrees) be the angle of elevation of the lighthouse from the ship. Plot the graph of $\frac{d θ}{d x}$ and use it to find the $x$ -coordinate where the rate of change of $θ$ is maximum.

ANSWERS OPTIONS

The rate of change of $θ$ is maximum at $x equals 0$ meters.

The rate of change of $\theta$ is maximum at $x equals 200$ meters.

The rate of change of $\theta$ is maximum at $x equals 300$ meters.

The rate of change of $\theta$ is maximum at $x equals 400$ meters.