Differentiation
2011-01-23 11:34 pm
(1)Let f(x) = e^((x^2)+(1/x)). Find f’(1).(2) For the dy/dx for the following implicit function.(1/x)e^(3y) = cosx (3)a. It is given that a is a positive constant. If a^x = e^(bx), where b is a real constant, express b in terms of a.(3) b. Hence, find d/dx (((3^x)-(2^x)) / ((3^x)+(2^x))).
回答 (2)
2011-01-23 11:56 pm
✔ 最佳答案
As follows:圖片參考：http://i707.photobucket.com/albums/ww74/stevieg90/ScreenHunter_04Jan231555.gif
圖片參考：http://i707.photobucket.com/albums/ww74/stevieg90/ScreenHunter_05Jan231555.gif
2011-01-23 15:56:48 補充：
http://i707.photobucket.com/albums/ww74/stevieg90/ScreenHunter_04Jan231555.gif
http://i707.photobucket.com/albums/ww74/stevieg90/ScreenHunter_05Jan231555.gif
2011-01-24 11:15 am
2. (1/x)e^(3y) = cosx
e^(3y) = x cos x
y = (1/3) ln (x cos x)
y' = (1/3) (x cos x)^(-1) ( -x sin x + cos x)
y' = (1/3) ( - tan x +1/x)
y' = (1/3) (1/x - tan x) #
e^(3y) = x cos x
y = (1/3) ln (x cos x)
y' = (1/3) (x cos x)^(-1) ( -x sin x + cos x)
y' = (1/3) ( - tan x +1/x)
y' = (1/3) (1/x - tan x) #
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https://hk.answers.yahoo.com/question/index?qid=20110123000051KK00682