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Hi I am trying to find the gradient function of

f(x, y) = 2*y^3+y*x*2+7/2 y^2+x^2

I have worked out the answer to be

d/dx = 2*y^3+2*y*x+7/2*y^2+2*x

d/dy = 6*y^2+x^2+(7/2)*2*y+x^2

Can someone please check this to make sure I have done the partial derivatives correctly as I am unsure if they are right?

EDIT:

Excuse my poor working the correct answer when I resolved is

2*x*y+2*x,6*y^2+x^2+2*y

f(x, y) = 2*y^3+y*x*2+7/2 y^2+x^2

I have worked out the answer to be

d/dx = 2*y^3+2*y*x+7/2*y^2+2*x

d/dy = 6*y^2+x^2+(7/2)*2*y+x^2

Can someone please check this to make sure I have done the partial derivatives correctly as I am unsure if they are right?

EDIT:

Excuse my poor working the correct answer when I resolved is

2*x*y+2*x,6*y^2+x^2+2*y

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