MAT 21B Chapter 5: MAT21B - Discussion Practice

Explain why the function is differentiable at the given point. f(x, y) = 2 + x ln(xy - 5), (3, 2) The partial derivatives are fx(X, Y) = and fy(X, Y) = , so fx(3, 2) = and fy(3, 2) = . Both fx and fy are continuous functions for xy > [ ] and f is differentiable at (3, 2). Find the linearization L(x, y) of f(x, y) at (3, 2).

11. O -4 points LarCalc10 4 3 044 | Given / x) dx = 0 and / rx) dx = 12, evaluate (a) fx) dx. (b) f(x) dx-x) dx. r1 (c)2f(x) dx. 1 (d) 2f(x) dx. Needi Help? I--Raadlt . ||||Talk to Tutor l