If and ,…

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

Problem

If y=f(5x+110x2−3)y = f \left( \frac{5x+1}{10x^2-3} \right) and f′(x)=cos⁡xf'(x) = \cos x , then dydx=\frac{dy}{dx} = (a) cos⁡(5x+110x2−3)ddx(5x+110x2−3)\cos \left( \frac{5x+1}{10x^2-3} \right) \frac{d}{dx} \left( \frac{5x+1}{10x^2-3} \right) (b) 5x+110x2−3cos⁡(5x+110x2−3)\frac{5x+1}{10x^2-3} \cos \left( \frac{5x+1}{10x^2-3} \right) (c) cos⁡(5x+110x2−3)\cos \left( \frac{5x+1}{10x^2-3} \right) (d) None of these

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