Question

Find the differential of the function w=x^(4)sin(y^(4)z^3)

Answer 1

Explanation:

`w = x^4\sin(y^4z^3)`

The differential
`dw` is

`dw = 4x^3\sin(y^4z^3)dx`

`\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(4y^3z^3)dy`

`\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+ x^4\cos(y^4z^3)(3y^4z^2)dz`