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.

$f(x,y)=\dfrac{\partial}{\partial x}x^{10}-3y^2\dfrac{\partial}{\partial x}x$

$f_x=10x^{10-1}-3y^2(1)$

$f_x=10x^{9}-3y^2$

Therefore, the correct option is A.