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Stels [109]
3 years ago
6

Find the partial derivatives of the following functions

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

Hello,

Step-by-step explanation:

a)

z=8x^2-4xy+5y^2\\\\\dfrac{\partial z}{\partial x} =16x^2-4y\\\\\dfrac{\partial z}{\partial y} =-4x+10y\\

b)

z=5xe^{y}\\\\\dfrac{\partial z}{\partial x} =5e^y\\\\\dfrac{\partial z}{\partial y} =5xe^y\\

c)

z=3xln(y)\\\\\dfrac{\partial z}{\partial x} =3ln(y)\\\\\dfrac{\partial z}{\partial y} =\dfrac{3x}{y}\\

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