Differentiate
y= e^x / x

Question

Differentiate
y= e^x / x

baru · Answer

y=$x^{-1} \times e^x $

use chain rule

mtalhahassan2 · Answer

[img]/drawings/45bfaeb002eb571b3a8c239fe944391d.png[/img]

mtalhahassan2 · Answer

y= e^x (x^-1) -1 e^x (x^-2)

mtalhahassan2 · Answer

right??

baru · Answer

$y= (x^{-1}e^x) + (-x^{-2}e^x)$

baru · Answer

is that what you got?

mtalhahassan2 · Answer

yes i got the same thing but are you not missing -1

baru · Answer

see the second term: i have written (- x)

mtalhahassan2 · Answer

oh ok so you put the -1 inside the backet

baru · Answer

yes

mtalhahassan2 · Answer

wait at the back of the book they have different answer i guess they simplify further

baru · Answer

[y=\frac{e^x}{x}-\frac{e^x}{x^2} \]

imqwerty · Answer

lol finally!!!
some life detected on os

baru · Answer

$$y=\frac{e^x}{x}-\frac{e^x}{x^2} $$

baru · Answer

just take LCM

baru · Answer

yeah, things have become really quiet qwerty

imqwerty · Answer

yes its too quiet :)
i do research wrk on os when its quiet like this

baru · Answer

lol...research?? i'm suspicious O.o

baru · Answer

@MTALHAHASSAN2 
your answer matched with textbook?

imqwerty · Answer

yes 
my current project is to make a blank username..i can make it tho but only if the character->"%" was allowed ): but its not
m wrkin on finding ip's of diff ppl e.e
i've found 10so far

mtalhahassan2 · Answer

no they are getting like y1= e^x / x^2 (x-1)

baru · Answer

like i said, just take common denominator
$$y=\frac{xe^x}{x^2}-\frac{e^x}{x^2} $$

baru · Answer

take e^x/x^2 common

mtalhahassan2 · Answer

i goted that but how they are getting (x-1)

baru · Answer

taking $e^x/x^2$ common
$$y=\frac{e^x}{x^2}(x-1)$$

baru · Answer

@MTALHAHASSAN2

mtalhahassan2 · Answer

So this is what we got right??   y= e^x (x^-1) + e^x (-x^-2)

mtalhahassan2 · Answer

e^x be the commom

baru · Answer

yes

mtalhahassan2 · Answer

I am confuse

mtalhahassan2 · Answer

know how can we solve

baru · Answer

you know this right:
$x^{-1}=\frac{1}{x}$

mtalhahassan2 · Answer

yes

baru · Answer

wait website hanging

mtalhahassan2 · Answer

can you help me with y= log 10 (1-x+x^3)

astrophysics · Answer

Hint:$$\frac{ d }{ dx }\log_ax =\frac{ 1 }{ xlna }$$

unklerhaukus · Answer

$$y= \frac{e^x}x$$

With the quotient rule
$$y' =\frac{xe^x-e^x}{x^2}$$
factoring the numerator
$$=\frac{(x-1)e^x}{x^2}$$