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Thursday, September 24, 2009

Calculus- general topics

Definition of Derivatives:
is the derivative of f(x). The process of taking derivatives is called differentiation.
Similarly, the higher derivatives of f(x) can be defined by
When there is more than one variable in a function, the derivative of the function should be specified with respect to a particular variable. For example,



is the partial derivative of f(x,y,z) with respect to x while keeping y and z constant.
In contrast to the partial derivative, the differential of f(x,y,z) is defined by
Leibniz's Formula for Derivatives:

L'Hôspital's Rule: L'Hôspital's Rule is used to determine the indeterminates such as width=150. If both f(x) and g(x) are differentiable in the domain except possibly at x0, then
The process can be repeated until the equivalent limit is found.
Integration by Parts: Integration by parts is one of the most commonly used integration formulas.

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