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3.11: Chapter 3 Review Exercises
https://stats.libretexts.org/Courses/Lake_Tahoe_Community_College/Interactive_Calculus_Q1/03%3A_Derivatives/3.11%3A_Chapter_3_Review_Exercises
$f'(x) = x\sec^2 x+2x\cos x+\tan x−x^2\sin x$ 16) First derivative of $y=x(\ln x)\cos x$ $\dfrac{dy}{dx} = \cos x⋅(\ln x+1)−x(\ln x)\sin x$ 18) Second derivative of $y=4^x+x^2\sin x$ \(\dfrac... $f'(x) = x\sec^2 x+2x\cos x+\tan x−x^2\sin x$ 16) First derivative of $y=x(\ln x)\cos x$ $\dfrac{dy}{dx} = \cos x⋅(\ln x+1)−x(\ln x)\sin x$ 18) Second derivative of $y=4^x+x^2\sin x$ $\dfrac{d^2y}{dx^2} = 4^x(\ln 4)^2+2\sin x+4x\cos x−x^2\sin x$ In exercises 19 and 20, find the equation of the tangent line to the following equations at the specified point. 20) $y=x+e^x−\dfrac{1}{x}$ at $x=1$

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