Question

DE help

Answer 1

\[y=\log(x^{2}\sqrt{x^{2}+1})\]

Answer 2

I got something like this
\[\frac{1}{x^{2}\sqrt{x^{2}+1}} \times 2\sqrt{x^{2}+1} \times 2x\]

Answer 3

@ghazi

Answer 4

there is a bit of editing you should have used product rule

Answer 5

for (x^2 sqrt{x^2+1})

Answer 6

how?:o

Answer 7

\[\frac{ d(x^2 \sqrt{x^2+1}) }{ dx }=x^2\frac{ d \sqrt{x^2+1} }{ dx }+\sqrt{x^2+1}*2x\]

Answer 8

woah :o thanks

Answer 9

:) YW

Answer 10

how did you get dx in the denominator?

Answer 11

you are differentiating with respect to x

Answer 12

i can write it as\[\frac{ d }{ dx }(\sqrt{x^2+1}*x^2)\]

Answer 13

oh wait equation is messed up lol just asec

Answer 14

\[\frac{dy}{dx}=\frac{dlog(x^{2}\sqrt{x^{2}+1}}{dx^{2}\sqrt{x^{2}+1}} \times \frac{dx^{2} \sqrt{x^{2}+1}}{d \sqrt{x^{2}+1}} \]
..so on

Answer 15

NO

Answer 16

i do like this,where i didnt diff. wrt. dx

Answer 17

thats how im taught >.>

Answer 18

you have to differentiate wrt x, you can't diffrentiate wrt to function

Answer 19

wth :/ am i taught wrong :S but i was getting all the answers like this

Answer 20

differentiation is done wrt to a variable basically differentiation tells us rate of change of one variable wrt to another and function is something that tells us the relation between those two variables so we can never get rate of change wrt to a function

Answer 21

okay..!

Answer 22

\[\frac{ d }{ dx }(\sqrt{x^2+1})*x^2+2x* \sqrt{x^2+1}\]

Answer 23

okay...clear!

Answer 24

cool :D

Answer 25

\[\frac{ d }{ dx } (\sqrt{x^2+1})=\frac{ 1 }{ \sqrt{x^2+1} }*\frac{ d }{ dx }(x^2+1)\]

Answer 26

there will be a factor of -1/2 multiplied in RHS

Answer 27

derivative of sqrt x is 1/2x right :o

Answer 28

-1/2 x

Answer 29

\[\frac{d \sqrt{x}}{dx}= \frac{1}{2 \sqrt{x}}\]
does my coaching class suck lol :/

Answer 30

http://wiki.answers.com/Q/What_is_the_derivative_of_square_root_of_x

Answer 31

no they are right let me show you

Answer 32

will it be like this:
\[\frac{1}{2 \sqrt{x^{2}+1}} \times 2x = \frac{x}{\sqrt{x^{2}+1}} \]

Answer 33

\[\frac{ d }{ dx } (x)^{-1/2}= \frac{ -1 }{ 2 }(x)^{-1/2-1}\]

Answer 34

so how do we have 2 answers

Answer 35

no we have one, just be careful in calculating power

Answer 36

okay..

Answer 37

so final answer im getting is

Answer 38

\[\frac{1}{x(x^{2}+1}\]

Answer 39

\[\frac{1}{x^{2} \sqrt{x^{2}+1}} \times \frac{x}{\sqrt{x^{2}+1}}\]

Answer 40

which is wrong :/
http://www.wolframalpha.com/input/?i=derivative+of+log%28x%5E2%28sqrt%28x%5E2%2B1%29%29%29

Answer 41

\[\frac{ d }{ dx } (\sqrt{x^2+1})=\frac{1 }{ 2 }(\sqrt{x^2+1})^{-3/2}* 2x\] your answer

Answer 42

what did you do

Answer 43

\[\frac{ d }{ dx }(x^n)=nx^{n-1}\] hope you know this formula

Answer 44

oh okay!