Question

how to differentiate
y=e^(x/a^2)

Answer 1

What is the objective of this question sir?

Answer 2

how to differentiate

Answer 3

use chain rule

Answer 4

just show me it plz

Answer 5

sure :) corrected typo before :

\(\large y=e^{x/a^2}\)

Answer 6

check ur notes and confirm if it is \(y\) on the lft side....

Answer 7

no no its x

Answer 8

ohhh sorry it is y

Answer 9

cool :)

Answer 10

\(\large y=e^{x/a^2}\)

\(\large \frac{dy}{dx}=\frac{d}{dx}(e^{x/a^2})\)

Answer 11

wats the derivative of e^x ?

Answer 12

lnx

Answer 13

nope. derivative of e^x is just e^x

Answer 14

ln x is the inverse of e^x, its not the derivative ok ?

Answer 15

\(\large y=e^{x/a^2}\)

\(\large \frac{dy}{dx}=\frac{d}{dx}(e^{x/a^2})\)

\(\large \frac{dy}{dx}=e^{x/a^2} * \frac{d}{dx}(x/a^2)\)

Answer 16

ok

Answer 17

since we dont have just e^x, we need to take derivative of exponent again.
its called chain rule.

Answer 18

see if above looks okay :)

Answer 19

yeah but what about d(x/a^2)

Answer 20

good question :) we still need to work it out

Answer 21

\(a\) is just a constant. so pull it out

Answer 22

okay

Answer 23

\(\large y=e^{x/a^2}\)

\(\large \frac{dy}{dx}=\frac{d}{dx}(e^{x/a^2})\)

\(\large \frac{dy}{dx}=e^{x/a^2} * \frac{d}{dx}(x/a^2)\)

\(\large \frac{dy}{dx}=e^{x/a^2} * \frac{1}{a^2}\frac{d}{dx}(x)\)

Answer 24

fine ?

Answer 25

wats the derivative of \(x\) ?

Answer 26

derivative of x is just 1

Answer 27

\(\large y=e^{x/a^2}\)

\(\large \frac{dy}{dx}=\frac{d}{dx}(e^{x/a^2})\)

\(\large \frac{dy}{dx}=e^{x/a^2} * \frac{d}{dx}(x/a^2)\)

\(\large \frac{dy}{dx}=e^{x/a^2} * \frac{1}{a^2}\frac{d}{dx}(x)\)

\(\large \frac{dy}{dx}=e^{x/a^2} * \frac{1}{a^2} * 1\)

\(\large \frac{dy}{dx}=\frac{e^{x/a^2}}{a^2}\)

Answer 28

okay thank u so much if u have a facebook or eamil to keep in touch

Answer 29

np... u wlc :) pm me ur email... il add u :)

Answer 30

brsa999@hotmail.com

Answer 31

ive copied... delete it here
it may be misused by others... lol