Question

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

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

Answer 1

Given:

The function is:

`f(x,y)=x^(10)-3xy^2`

To find:

The value of
`f_x`.

Solution:

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

We have,

`f(x,y)=x^(10)-3xy^2`

Differentiate partially with respect to x.

`f(x,y)=(\partial)/(\partial x)x^(10)-3y^2(\partial)/(\partial x)x`

`f_x=10x^(10-1)-3y^2(1)`

`f_x=10x^(9)-3y^2`

Therefore, the correct option is A.