Chapter 5
Techniques of Differentiation
In this chapter we focus on functions given by formulas. The derivatives of
such functions are then also given by formulas. In chapter 4 we used information about the derivative of a function to recover the function
Partial Derivatives
Math 21a
Spring, 2009
Define the partial derivative of f (x, y) with respect to x by
fx =
f
f (x + h, y) f (x, y)
(f ) =
= lim
x
x h0
h
and similarly the partial derivative of f (x, y) with respect to y by
fy =
f
f (x, y + h) f (x, y)