Consider the function f:R^2toR given by f(x,y)=x^2+y^2-4y. Then in a neighbourhood of (0,0):

(B) y variable can be expressed as a function of x

Q42Section II (Mathematics)42 of 190

Implicit function theorem — checking each partial derivative at the origin

Consider the function $f:\mathbb{R}^2\to\mathbb{R}$ given by $f(x,y)=x^2+y^2-4y$ . Then in a neighbourhood of $(0,0)$ :

Pick an option to check your answer.

Keyboard: A–D answer · S solution · ←/→ previous/next