2311lectureoutline3.6

2311lectureoutline3.6 - is called Logarithmic...

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MAC2311, Calculus I 3.6 Derivatives of Logarithmic Functions Derivative of y = ln(u) where u is a function of x : ( ) 1 ln d du u u dx u dx u = = Derivative of y = log a (u) where u is a function of x : ( ) 1 1 1 log ln ln a d du u u dx u a dx u a = = The calculation of derivatives of complicated functions involving products, quotients, or powers can often be simplified by taking logarithms. This process
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Unformatted text preview: is called Logarithmic Differentiation. Steps for Logarithmic Differentiation : 1. Take natural logarithms of both sides of an equation and use the laws of Logarithms to simplify. 2. Differentiate implicitly with respect to x. 3. Solve the resulting equation for y’. Try exercises 4, 6, 8, 20, 34, 40, 42 on page 220 in your text....
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This note was uploaded on 12/12/2011 for the course MAC 2311 taught by Professor Teague during the Spring '11 term at Santa Fe College.

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