Trig derivative? f(x)=6arctan(7e^x)
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Trig derivative? f(x)=6arctan(7e^x)

[From: ] [author: ] [Date: 11-09-30] [Hit: ]
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if f(x)=6arctan(7e^x) then how do you find the derivative? please help

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e^x/(7e^2x/6+1/42)

Go to ref 1 and click on "show steps"

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ans: 42e^x/(1 + 49e^2x)
d(f(x)/dx=d(6arctan(7e^x))/d(7e^x) x d(7e^x)/dx
=6/(1+49e^2x) x 7e^x
=42e^x/(1 + 49e^2x)
1
keywords: derivative,Trig,arctan,Trig derivative? f(x)=6arctan(7e^x)
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