Chapter 3.5, Problem 4E

To determine

To find: $\frac{dy}{dx}$ use the grapher to support your analysis if you are unsure to your answer.

Answer to Problem 4E

  $\frac{dy}{dx}=\sec x(x\tan x+1)$ .

Explanation of Solution

Given information:Given equation is $y=x\sec x$ .

Calculation:Given equation is $y=x\sec x$ .

  $\begin{array}{l}y=x\sec x\\ \frac{dy}{dx}=x\frac{d}{dx}(\sec x)+\sec x\frac{d}{dx}(x)\\ \frac{dy}{dx}=x(\sec x\tan x)+\sec x(1)\\ \frac{dy}{dx}=\sec x(x\tan x+1)\end{array}$

Graph is: