Question

y = 6ax^3 (derivation chapter) please solve the question​

Answer 1

$\frac{dy}{dx} = \frac{3y}{x}$

Step-by-step explanation:

$Given, \: \: \: y = 6a {x}^{3} \: \: \: then \\ a = \frac{y}{6 {x}^{3} } \\ Now, \: \: Differentiating \: \: with \: \: respect \: \: to \: \: x \: \: of \: \: y \\ \frac{dy}{dx} = 18a {x}^{2} \\ putting \: \: value \: \: of \: \: a \\ \frac{dy}{dx} = 18 \times \frac{y}{6 {x}^{3} } \times {x}^{2} \\ \frac{dy}{dx} = \frac{3y}{x}$