Week 15 Discussion

Question 8.3.5

Evaluate the partial derivative of:
\(f(x,y) = x^2y - x + 2y + 3\) at (1,2)

Find the partial derivatives:

\(fx = 2xy -1\)

\(fy = x^2 +2\)

Substitute in (1,2)

\(fx = 2(1)(2) -1 = 3\)

\(fy = 1^2 +2 = 3\)

Answer

\(f(1,2) = (3,3)\)