# Ejercicio 10.5

## Apartado a)

kill(all)$

f(x,y):=x^4 + 3*x^2 - 4*x*y;

Dxf(x,y) = diff(f(x,y), x);
Dyf(x,y) = diff(f(x,y), y);

## Apartado b)

kill(all)$

f(x,y):= 4*x*y +x/(2*y) - sqrt(x^2 + 3*y^2) ;

Dxf(x,y) = diff(f(x,y), x);
Dyf(x,y) = diff(f(x,y), y);

## Apartado c)

kill(all)$

f(x,y):=exp(- y^2 / (2*x)) ;

Dxf(x,y) = diff(f(x,y), x);
Dyf(x,y) = diff(f(x,y), y);

## Apartado d)

kill(all)$

f(x,y):=log((x+2) / (3*sqrt(y))) ;

Dxf(x,y) = diff(f(x,y), x);
Dyf(x,y) = diff(f(x,y), y);