#### Question

Determine the point(s) (if any) at which the graph of the function has a horizontal tangent line. y = √3x + 2 cos x, 0≤ x < 2π

#### Solution

Verified#### Step 1

1 of 7$\frac{d}{dx}[\sqrt{3}x]+\frac{d}{dx}[2cos(x)]=\sqrt{3}\frac{d}{dx}[x]+2\frac{d}{dx}[cos(x)]=\sqrt{3}-2\sin{x}$

A horizontal tangent line has a slope of zero, therefore we need to find the points where the graph of the function has a slope of zero. The slope of a function is the function of its instantaneous rate of change or its derivative. So first we need to find the derivative.

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

## Create an account to view solutions

By signing up, you accept Quizlet's Terms of Service and Privacy Policy

#### Recommended textbook solutions

#### Calculus: Early Transcendentals

9th EditionDaniel K. Clegg, James Stewart, Saleem Watson11,044 solutions

#### The Practice of Statistics for the AP Exam

5th EditionDaniel S. Yates, Daren S. Starnes, David Moore, Josh Tabor2,433 solutions