Question

Consider the function $f(x) = 3 \tan(x)$. \\ Find the equation of the line normal (perpendicular) to the curve $f(x) = 3 \tan(x)$ at the point where $x = -\frac{\pi}{6}$. \\ Your response should be in the form $y = m \cdot x + b$ omitting the $y=$ part and the values should be rounded to 3 significant digits.

          Consider the function $f(x) = 3 \tan(x)$. \\
Find the equation of the line normal (perpendicular) to the curve $f(x) = 3 \tan(x)$ at the point where $x = -\frac{\pi}{6}$. \\
Your response should be in the form $y = m \cdot x + b$ omitting the $y=$ part and the values should be rounded to 3 significant digits.

Consider the function f(x) = 3 tan(x).

Find the equation of the line normal (perpendicular) to the curve f(x) = 3 tan(x) at the point where x = -(π)/(6).

Your response should be in the form y = m · x + b omitting the y= part and the values should be rounded to 3 significant digits.

Added by Shawn F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

10/14/2022

Step 1

The derivative of tan(x) is sec^2(x), so the derivative of f(x)=3tan(x) is f'(x)=3sec^2(x). Show more…

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Consider the function f(x)=3tan(x). Find the equation of the line normal (perpendicular) to the curve f(x)=3tan(x) at the point where x=-(pi )/(6). Your response should be in the form y=m*x+b omitting the y= part and the values should be rounded to 3 significant digits. y= Consider the function f=3 tan Find the equation of the line normal (perpendicular) to the curve f () = 3 tan () at the point where = 71 6 Your response should be in the form y = m - + b omitting the y = part and the values should be rounded to 3 significant digits. y=