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

1 Answer
Jun 8, 2018

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