Question

Derivadas Parciais.
Seja F(x,y) = 3x³y², determine:

a) Fx(x,y)
b) Fx(x,1)
c) Fx(x,y)
d) fy(1,y)
e) Fx(1y)
f) Fx(1,2)

Answer 1

$\displaystyle F_x=\frac{\partial}{\partial x}3x^3y^2\\ \\ F_x=y^2\cdot\frac{d}{d x}3x^3\\ \\ F_x=y^2\cdot9x^2\\ \\ \boxed{F_x=9x^2y^2}\\ \\ \\ F_y=\frac{\partial}{\partial y}3x^3y^2\\ \\ F_y=3x^3\cdot \frac{d}{d y}y^2\\ \\ F_y=3x^3\cdot 2y\\ \\ \boxed{F_y=6x^3y}$

Solo queda que las evalúes.