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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View this answer**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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Chapter 15 / Lesson 1In physics, differential notation refers to the way that differential equations are written out to express variables undergoing change. Identify the use of differential notation in two examples of changing variables: position in velocity, and temperature over time.