Interpretations of Partial Derivatives — Question 6

Question 6 – Solution

Strategy. Use the center row and column.

Step 1: $x$ rate $f_x\approx(8.09-7.71)/.2=\boxed{1.90}$.

Step 2: $y$ rate $f_y\approx(8.00-7.80)/.2=\boxed{1.00}$.

Step 3: Meaning Output rises about $1.90$ per $x$ unit with $y$ fixed and $1.00$ per $y$ unit with $x$ fixed. Symmetric differences reduce one-sided bias.