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Unformatted text preview: ( 29 ln u u d du a a a dx dx = → So far today we have: u u d du e e dx dx = ( 29 ln u u d du a a a dx dx = Now it is relatively easy to find the derivative of . ln x → ln y x = y e x = ( 29 ( 29 y d d e x dx dx = 1 y dy e dx = 1 y dy dx e = 1 ln d x dx x = 1 ln d du u dx u dx = → To find the derivative of a common log function, you could just use the change of base rule for logs: log d x dx ln ln10 d x dx = 1 ln ln10 d x dx = 1 1 ln10 x = ⋅ The formula for the derivative of a log of any base other than e is: 1 log ln a d du u dx u a dx = → u u d du e e dx dx = ( 29 ln u u d du a a a dx dx = 1 log ln a d du u dx u a dx = π 1 ln d du u dx u dx =...
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 Fall '05
 Riggs
 Derivative, Differential Calculus, Logarithmic Functions, Slope, lim, Logarithm, dx

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