- #1

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- Homework Statement
- Which of the following expressions best approximates the slope of the function created by intersecting the graph of the function z=f(x,y) with a plane 2(x-a)+(y-b)=0 at the point (a,b)

- Relevant Equations
- 2(x-a)+(y-b)=0 is a line

y=2a+b-2x

at the point (a,b) b=2a+b-2a

Since z=0, the only variable that counts is x.

So the solution would be:

$$\frac {f \left(a + \Delta\ x, b \right) - f(a,b)} {\left( \Delta\ x\right)}$$

So the solution would be:

$$\frac {f \left(a + \Delta\ x, b \right) - f(a,b)} {\left( \Delta\ x\right)}$$