


This Question is Closed

abz_tech
Best Response
You've already chosen the best response.
0
hmm?

Diyadiya
Best Response
You've already chosen the best response.
3
\[\Large \sqrt{x}=x^ \frac{1}{2}\]Do you know this?

abz_tech
Best Response
You've already chosen the best response.
0
ya
.. i know derivite of that is 1/2√x

Diyadiya
Best Response
You've already chosen the best response.
3
The easier way is to do by this metho\[\Large x \sqrt{x}= x.x^ \frac{1}{2}\]

abz_tech
Best Response
You've already chosen the best response.
0
ok.. then?

Diyadiya
Best Response
You've already chosen the best response.
3
\[\Large x^m \times x^n = x^{m+n}\]

Diyadiya
Best Response
You've already chosen the best response.
3
\[\Large x \times x^ \frac{1}{2}= ?\]

annas
Best Response
You've already chosen the best response.
2
x^3/2

abz_tech
Best Response
You've already chosen the best response.
0
0_o.. didn;t think of that..but aren't u supposed to use roduct rule?

abz_tech
Best Response
You've already chosen the best response.
0
product rule

annas
Best Response
You've already chosen the best response.
2
no product rule is not applicable here
3/2 x^1/2 answer

abz_tech
Best Response
You've already chosen the best response.
0
now that makes sense 0_o

Diyadiya
Best Response
You've already chosen the best response.
3
Yes you can use product rule ,You'll get the same answer

abz_tech
Best Response
You've already chosen the best response.
0
why not tough?

abz_tech
Best Response
You've already chosen the best response.
0
:o ok

abz_tech
Best Response
You've already chosen the best response.
0
thx

annas
Best Response
You've already chosen the best response.
2
\[3/2x^{1/2}\]

Diyadiya
Best Response
You've already chosen the best response.
3
\[\frac{d}{dx}x \sqrt{x}=x \frac{d}{dx}\sqrt{x}+\sqrt{x}\frac{d}{dx}x\]\[=x .\frac{1}{2\sqrt{x}}+\sqrt{x}=\frac{x}{2\sqrt{x}}+\sqrt{x} =\frac{\sqrt{x}}{2}+\sqrt{x}\]\[=\frac{\sqrt{x}}{2}+ \frac{\sqrt{x}}{1}=\frac{\sqrt{x}}{2}+\frac{\sqrt{x} \times 2 }{1 \times 2} =\frac{\sqrt{x}}{2}+\frac{2\sqrt{x}}{2}=\frac{3\sqrt{x}}{2}\]

Diyadiya
Best Response
You've already chosen the best response.
3
Using the Product Rule^^

annas
Best Response
You've already chosen the best response.
2
wow diya you are really good at maths :)

Diyadiya
Best Response
You've already chosen the best response.
3
\[\Large \frac{3}{2}x^ \frac{1}{2}= \frac{3}{2}\sqrt{x}= \frac{3\sqrt{x}}{2}\]Same answer! :)

Diyadiya
Best Response
You've already chosen the best response.
3
Lol Thanks Annas!

annas
Best Response
You've already chosen the best response.
2
welcome !

abz_tech
Best Response
You've already chosen the best response.
0
lol ye.. ur really good

abz_tech
Best Response
You've already chosen the best response.
0
hmm hey, if u dont mind can u help me with another question =/?

Diyadiya
Best Response
You've already chosen the best response.
3
Post another question :)

abz_tech
Best Response
You've already chosen the best response.
0
ok