- #1
zhuyilun
- 27
- 0
Homework Statement
find the partial derivative of f(x,y)=(x^3+y^3)^(1/3) with respect to x and evaluate at (0,0)
Homework Equations
The Attempt at a Solution
i found the general partial derivative with respect to x is (x^2)*(x^3+y^3)^(-2/3)
if i plug in the point i would get zero at the bottom
so i used the limit thing which is the limit of (f‘(x+h,y)-f(x,y))/h as h approaches infinite.
then i substitute , i got something like lim (((x+h)^3+y^3)^(1/3)-(x^3+y^3)^(1/3))/h as h approaches infinite. then i plug in x=0, y=0, i got lim ((h^3)^(1/3))/h as h approaches infinite which is just 1
i am not sure about what i did is right or not