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#