When differentiating (y= (3x^ 2 ), ) the result is ( dy dx =6x (3x^ 2 ) ) rather than…

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

Problem

When differentiating y=sin⁡(3x2),y=\sin(3x^{2}), the result is dydx=6xcos⁡(3x2)\dfrac{dy}{dx}=6x\cos(3x^{2}) rather than just cos⁡(3x2).\cos(3x^{2}). State which part of the function introduces the extra factor 6x.6x.

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