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(a) Find an equation of the tangent line to the curve

$ y = 3x + 6 $ cos $ x $ at the point $ (\pi/3, \pi + 3). $

(b) Illustrate part (a) by graphing the curve and the tangent line on the same screen.

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Missouri State University

University of Michigan - Ann Arbor

Boston College

it's clear. So when you right here. So I first gonna get the derivative. Once we get the derivative, we get three minus six sign we're gonna evaluate for X is equal to tie over three. We have three minus six on square root of three. I want it by two. We're gonna put it Plug in the point on the slope when we get one is minus. Hi. Plus three is equal to three minus three square root of three. I'm specs minus points. We get why is equal to pi. Plus three plus three minus three square root of three when x minus pi. Third part B. We're going to draw a graph, so we have thanks. And the graph looks roughly this and then our would draw our line.