Answer:
Fx(x,y) = 8x -9y
Step-by-step explanation:
Given f(x,y) = 4x²-9xy+6y³, we are to find the derivative of the function with respect to x keeping y as constant.
Fx(x,y)
This is known as partial derivative of the function.
Fx(x,y) = 2(4)x^(2-1) - 9y + 0
Fx(x,y) = 8x -9y
Note that the differential of a constant is zero, hence the reason why 6y³ tends to zero since there are no x variable attached.
