Mathematics

Mathematics

Problem

For the function y=2x3+5y=2x^{3}+5, which option gives the value of the derivative at x=2x=2 written in Leibniz notation? a) dydx∣x=2=24\displaystyle\frac{dy}{dx}\Big|_{x=2}=24 b) dxdy∣x=2=24\displaystyle\frac{dx}{dy}\Big|_{x=2}=24 c) dydx∣x=2=12\displaystyle\frac{dy}{dx}\Big|_{x=2}=12 d) dydx∣x=2=21\displaystyle\frac{dy}{dx}\Big|_{x=2}=21

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