calculus_basics

calculus_basics - with respect to t can be written as: df...

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Some Basic Calculus Relations a) Chain rule of differentiation – function of a single variable: For a function f(x) where x is a function of t, the derivative of f with respect to t can be written as: df dt = df dx dx dt b) Chain rule of differentiation – function of a several variables: For a function f(x 1 ,x 2 , ,x N ) where x 1 ,x 2 , ,x N are functions of t, the derivative of f
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Unformatted text preview: with respect to t can be written as: df dt = ∂ f x 1 dx 1 dt + f x 2 dx 2 dt + ... + f x N dx N dt c) Integration by parts: u dv = u v-v du d) Product rule of differentiation: If u and v are functions of t, then: d dt uv ( ) = du dt v + u dv dt...
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This document was uploaded on 12/23/2011.

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