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

asked May 18, 2022 21.4k views

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Explanation:

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

The differential
is

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

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

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

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