\(f'(x) = x\sec^2 x+2x\cos x+\tan x−x^2\sin x \) 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 \(x=1\)
