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playa007
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Homework Statement
Let z = f(x,y) be a differentiable function on R^2 such that f(1, 2) = 3,
f(1.2, 2.3) = 3.4 and f(0.9, 2.1) = 3.2.
a) Estimate dz/dx and dz/dy at (1,2) (dz/dx and dz/dy are partial derivatives)
b) Estimate the value of the directional derivative of z = f(x,y) at the point (1,2) as you move towards (2,3)
Homework Equations
The Attempt at a Solution
I've tried using the formal definitions of directional and partial derivatives to do these but I just can't get how the estimates come in. Help would be very much appreciated