Question

Find the differential of the following function?: y = sin 5x^3

Answer 1

`dy = 15 x^2 cos 5x^3 \ dx`

Explanation:

`y = sin 5x^3`

If you're having trouble, break it down a little. E.g. let:

• `y = sin z, qquad z = 5x^3`

Which means:

• `dy = cos z \ dz`

• `dz = 15 x^2 \ dx`

So the differential is:

• `dy = 15 x^2 cos 5x^3 \ dx`