Question

Find the equation of the tangent line to the curve $y = 4 \sin x$ at the point $\left(\frac{\pi}{6}, 2\right)$.\newlineThe equation of this tangent line can be written in the form $y = mx + b$ where $m = $ and $b =$\newlineRound your answers to the nearest hundredth.

Name: Find the equation of the tangent line to the curve y = 4 sin x at the point ((π)/(6), 2).equation of this tangent line can be written in the form y = mx + b where m = and b =your answers to the nearest hundredth.
Uploaded: 2023-07-19T08:08:05-08:00
Duration: 1 min 48 s
Channel: Madhur L
Description: Find the equation of the tangent line to the curve y = 4 sin x at the point ((π)/(6), 2).equation of this tangent line can be written in the form y = mx + b where m = and b =your answers to the nearest hundredth.

          Find the equation of the tangent line to the curve $y = 4 \sin x$ at the point $\left(\frac{\pi}{6}, 2\right)$.\newlineThe equation of this tangent line can be written in the form $y = mx + b$ where $m = $ and $b =$\newlineRound your answers to the nearest hundredth.

Find the equation of the tangent line to the curve y = 4 sin x at the point ((π)/(6), 2).equation of this tangent line can be written in the form y = mx + b where m = and b =your answers to the nearest hundredth.

Added by Misty C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/19/2023

Step 1

The derivative of sin(x) is cos(x), and the derivative of 4 is 0. Therefore, the derivative of y = 4 sin(x) is dy/dx = 4 cos(x). Show more…

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Find the equation of the tangent line to the curve y = 4 sin(x) at the point (2). The equation of this tangent line can be written in the form y = mx + b, where m = and b = Round your answers to the nearest hundredth.