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Easy but hard sketching question? (1 Viewer)

Thread starter SammyT123
Start date Feb 24, 2015

S

SammyT123

Active Member

#1

How do I sketch y=logx/x

When I get to the y' step, I let

U = logx

Du=1/x dx

Y'=udu

This is somehow wrong :/

Sent from my iPhone using Tapatalk

S

Silly Sausage

Well-Known Member

#2

Do you mean $y=log_{e}{\frac{x}{x}}$ or $y=\frac{log_{e}{x}}{x}$ ?

Kaido

be.

#3

most likely the second one, it's a pretty common Q.

S

Silly Sausage

Well-Known Member

#4

Let $u=lnx$ and $v=x$
$u'=\frac{1}{x}$ and $v'=1$

$\frac{dy}{dx}=\frac{\frac{1}{x}(x)-(1)lnx}{x^2}$
$\frac{dy}{dx}=\frac{1-lnx}{x^2}$

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