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→Partial derivatives: an example
Partial derivatives are calculated just like full derivatives, with the other variables being treated as constants.
Partial derivatives are calculated just like full derivatives, with the other variables being treated as constants.
'''Example:'''
Let <math>f(x_1,x_2) = \frac{x_1^3}{1+x_2^2}</math>. Then there are two partial derivatives of first order:
*<math>f_1(x_1,x_2) = \frac{\partial f(x_1,x_2)}{\partial x_1} = \frac{3x_1^2}{1+x_2^2}</math>
*<math>f_2(x_1,x_2) = \frac{\partial f(x_1,x_2)}{\partial x_2} = \frac{- 2 x_1^3 x_2}{(1+x_2^2)^2}</math>
==Uses==
==Uses==