The derivative of a function is written in Lagrange notation as

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The derivative of a function is written in Lagrange notation as f′(x)=3x2−4f'(x)=3x^{2}-4. Which of the following correctly expresses the same derivative in Leibniz notation? (a) dy=(3x2−4) dxdy=(3x^{2}-4)\,dx (b) dxdy=3x2−4\dfrac{dx}{dy}=3x^{2}-4 (c) dydx=3x2−4\dfrac{dy}{dx}=3x^{2}-4 (d) dydx=6x\dfrac{dy}{dx}=6x

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