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- https://math.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 \(x=1\)
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2410%3A_Calculus_(Open_Stax)_Novick/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 \(x=1\)
- https://math.libretexts.org/Courses/SUNY_Geneseo/Math_221_Calculus_1/03%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 \(x=1\)
- https://math.libretexts.org/Courses/Prince_Georges_Community_College/MAT_2410%3A_Calculus_1_(Beck)/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 \(x=1\)
- https://math.libretexts.org/Courses/Southwestern_College/Business_Calculus/03%3A_Unit_3_-_Derivatives/3.R%3A_Chapter_3_Review_ExercisesIn exercises 5 and 6, use the limit definition of the derivative to exactly evaluate the derivative. In exercises 19 and 20, find the equation of the tangent line to the following equations at the spe...In exercises 5 and 6, use the limit definition of the derivative to exactly evaluate the derivative. In exercises 19 and 20, find the equation of the tangent line to the following equations at the specified point. Questions 23 and 24 we are given the following information: The cost function for a company that manufactures widgets is given by \(C(q)=100+\dfrac{2}{q}+\dfrac{q}{4}\), where \(q\) is the number of widgets manufactured.
- https://math.libretexts.org/Courses/Coastline_College/Math_C180%3A_Calculus_I_(Everett)/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 \(x=1\)
- https://math.libretexts.org/Courses/Laney_College/Math_3A%3A_Calculus_1_(Fall_2022)/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 \(x=1\)
- https://math.libretexts.org/Courses/Mission_College/Math_3A%3A_Calculus_1_(Sklar)/03%3A_Derivatives/3.10%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 \(x=1\)
- https://math.libretexts.org/Courses/Monroe_Community_College/MTH_210_Calculus_I_(Seeburger)/03%3A_Derivatives/3R%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 \(x=1\)
- https://math.libretexts.org/Courses/City_University_of_New_York/Calculus_I_(CUNY)/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 \(x=1\)
- https://math.libretexts.org/Courses/Penn_State_University_Greater_Allegheny/Math_140%3A_Calculus_1_(Gaydos)/03%3A_Derivatives/3.R%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 \(x=1\)
