Question

f(x,y)=y10−3xy then fy=10y11−3x

Answer 1

SOLUTION

GIVEN

$\sf{f(x, y) = {y}^{10} - 3xy}$

TO DETERMINE

$\sf{f_y(x, y) }$

EVALUATION

Here it is given that

$\sf{f(x, y) = {y}^{10} - 3xy}$

Differentiating both sides partially with respect to x we get

$\sf{f_x(x, y) = - 3y}$

Differentiating both sides partially with respect to y we get

$\sf{f_y(x, y) = 10{y}^{9} - 3x}$

Hence

$\sf{f_y(x, y) = 10{y}^{9} - 3x}$

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