Taylor Series Expansion
2016+Week4
2016+Week4
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First Order Partial Derivatives<br />
For functions with more variables, the partial derivatives can be approximated<br />
by grouping together all of the same variables and applying the univariate<br />
approximation for that group.<br />
For example, if F(x, y) is our function, then some first order partial derivative<br />
approximations are:<br />
F(<br />
x h,<br />
y)<br />
F(<br />
x<br />
f x<br />
( x,<br />
y)<br />
<br />
2h<br />
<br />
h,<br />
y)<br />
F(<br />
x,<br />
y k)<br />
F(<br />
x,<br />
f y<br />
( x,<br />
y)<br />
<br />
2k<br />
y<br />
<br />
k)
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