For the function

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

For the function

y=2x^{3}+5

, which option gives the value of the derivative at

x=2

written in Leibniz notation? (a)

\displaystyle\frac{dy}{dx}\Big|_{x=2}=24

(b)

\displaystyle\frac{dx}{dy}\Big|_{x=2}=24

(c)

\displaystyle\frac{dy}{dx}\Big|_{x=2}=12

(d)

\displaystyle\frac{dy}{dx}\Big|_{x=2}=21