ECO 3145 Lecture Notes - Partial Derivative, Daf, Total Derivative
15 Jun 2014
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6, 7. 1 7. 4, 7. 6, 8. 1 8. 4, 9. 1 9. 4, 11. 1 11. 4: univariate functions, derivative, second derivative. )x n or df idx if the xi are all independent variables, then df dx f x i i. However, consider case when some of the xi are functions of the others x. E. g. then the function can be written as f df using the chain rule: Approximate measure of the change in the value of a function corresponding to small variations in the arguments total differential: all arguments vary. etc, dx,dx represent the small changes in the arguments. Partial differential: only some arguments vary; others are held constant. Note df is a function of the x"s and the dx"s; i. e. df dx)x n dx,x n (xf n. Consider the change in f between two points, x( 1 f is a linear approximation of true value of the change: x(f dx,x n.
