When differentiating the equation with respect to

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

When differentiating the equation cos⁡(y)+xy=0\cos(y)+xy=0 with respect to xx, which of the following is the correct expression for ddx[cos⁡(y)]\dfrac{d}{dx}[\cos(y)]? (a) −sin⁡(y)-\sin(y) (b) −sin⁡(y) dxdy-\sin(y)\,\dfrac{dx}{dy} (c) −sin⁡(y) dydx-\sin(y)\,\dfrac{dy}{dx} (d) −cos⁡(y) dydx-\cos(y)\,\dfrac{dy}{dx}

Related theory

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