calculus - partial derivative

1. Find the partial derivatives of the function
f(x,y) = xye^(2y)

a. ∂ƒ/∂x = ___
b. ∂ƒ/∂y = ___
c. ∂²f/∂y∂x = ___
d. ∂²f/∂x∂y = ___

2. Let f(x,y) = (-(5x + y))^6
a. ∂²f/∂x∂y = ___
b. ∂^3f/∂x∂y∂x = ___
c. ∂^3f/∂x²∂y = ___


for the first question...
a, I got the right answer: y e^(2y)
but for b, I got 2 x e^(2y), which is wrong.
for c, i got (e^(2y))(2y* (e^(2y))), which is wrong.
for d, i got 2 (e^(2y)), which is wrong.