Find both first partial derivatives. z = 6x − x^2y + 8y^2

Josalynn 2021-02-05 Answered
Find both first partial derivatives. z=6xx2y+8y2
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Expert Answer

Elberte
Answered 2021-02-06 Author has 95 answers
Step 1: Given that
Find both first partial derivatives. z=6xx2y+8y2
Step 2: Solve
We have,
z=6xx2y+8y2
Differentiating partially both sides w.r.t x we obtain,
zx=x(6xx2y+8y2)
=x(6x)x(x2y)+x(8y2)
=62xy+0
=62xy
Similarly, Differentiating partially the given function both sides w.r.t y we obtain,
zy=y(6xx2y+8y2)
=y(6x)y(x2y)+y(8y2)
=0x2+16y
=16yx2
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