Find the differential of the function. {eq}y = {x^2}\sin \left( {6x} \right) {/eq}

Question:

Find the differential of the function.

{eq}y = {x^2}\sin \left( {6x} \right) {/eq}

Differential of the Function:

Let us assume that we have any function {eq}y=f(x) {/eq}. The differential of the function {eq}y {/eq} is equal to the product of the derivative of the function and the differential of {eq}x {/eq}. Mathematically it is written as:

$$\text{d}y=\dfrac{\mathrm{d} y}{\mathrm{d} x}\cdot \text{d}x$$

Answer and Explanation: 1

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Given function:

$$y = {x^2}\sin \left( {6x} \right)$$

Our objective is to find the differential of the function.

The differential of any function...

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