Question

Calculate the gradient of the scalar function ∅=e^(xy^2z^3)

Answer 1

df/dx = (y^2z^3)e^(xy^2z^3)
df/dy = (2xyz^3)e^(xy^2z^3)
df/dz = (3xy^2z^2)e^(xy^2z^3)

so
grad f = ( (y^2z^3)e^(xy^2z^3) , (2xyz^3)e^(xy^2z^3) , (3xy^2z^2)e^(xy^2z^3))

Answer 2

thank you

Answer 3

Me: "Mua ha ha! I'm in Cal 2! Nothing can stop me!"
*visits open study after a 1 year hiatus and sees this problem*
Me: "Nope." :P