Differential Calculus> Find the local maximum of f(x)={ log(x) }...

Find the local maximum of f(x)={ log(x) } / x .
I tried but could only find local minima .After first derivate making it equal to 0,i got only one solution i.e., x=e and this solution gave local minima.Please help me in finding local maxima

Praveen Kumar Das , 6 Years ago

Grade 12th pass

2 Answers

Aditya Gupta

y= logx/x

we see that domain is (0, inf)

dy/dx= f’(x)= (1 – logx)/x^2, which is positive for x less than e and negative for x greater than e. at x=e, it is 0.

hence by first derivative test, x= e is the local (as well as global in this case!) maxima.

kindly approve :)

Last Activity: 6 Years ago

Vikas TU

Dear student

You are correct , X = e will be tha ans ,

You yourself told the explanton ,

Good Luck

Cheers

Last Activity: 6 Years ago

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Differential Calculus> Find the local maximum of f(x)={ log(x) }...

Find the local maximum of f(x)={ log(x) } / x .I tried but could only find local minima .After first derivate making it equal to 0,i got only one solution i.e., x=e and this solution gave local minima.Please help me in finding local maxima

Praveen Kumar Das , 6 Years ago

Aditya Gupta

Vikas TU

LIVE ONLINE CLASSES

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Find the local maximum of f(x)={ log(x) } / x .
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Find dy/DX when y=x^sinx+sin-1√x.

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