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Answered

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f(x,y)=x10-3xy2then fz=

A. 10 x9 - 3y2
B. 20 x9 - 3y2
C. 2y2
D. 10x10 + xy2
which option is correct please

Fxyx103xy2then Fz A 10 X9 3y2 B 20 X9 3y2 C 2y2 D 10x10 Xy2 Which Option Is Correct Please class=

Sagot :

Given:

The function is:

[tex]f(x,y)=x^{10}-3xy^2[/tex]

To find:

The value of [tex]f_x[/tex].

Solution:

We need to find the value of [tex]f_x[/tex]. So, we have to find the first order partial derivative of the given function with respect to x.

We have,

[tex]f(x,y)=x^{10}-3xy^2[/tex]

Differentiate partially with respect to x.

[tex]f(x,y)=\dfrac{\partial}{\partial x}x^{10}-3y^2\dfrac{\partial}{\partial x}x[/tex]

[tex]f_x=10x^{10-1}-3y^2(1)[/tex]

[tex]f_x=10x^{9}-3y^2[/tex]

Therefore, the correct option is A.

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