Differentiate the following function with respect to x: (3x^2sin x)/(√(7 - x^2))

Question

Differentiate the following function with respect to x:

\(\cfrac{3\mathrm x^2 sin\,\mathrm x}{\sqrt{7-\mathrm x^2}}\)

Answer 1

Let y =  \(\cfrac{3\mathrm x^2 sin\,\mathrm x}{\sqrt{7-\mathrm x^2}}\)

On differentiating y with respect to x, we get