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

Find the differential of the function w=x^(4)sin(y^(4)z^3)-example-1
User Schybo
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1 Answer

10 votes
10 votes

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

User ZiGaelle
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