Question

find dy/dx ........

Answer 1

if y\[y(x^2-1)=x \sqrt{x^2 +4}\]

Answer 2

thats the question

Answer 3

u kNow Implicit Differentiation ?

Answer 4

Hmm, I wonder if you could do this:\[y = \frac{x\sqrt{x^2 + 4}}{x^2 - 1}\]

Answer 5

@ParthKohli if we differentiate both sides rather than this

Answer 6

yeah just do implicit differentiation like @Yahoo! said

Answer 7

?

Answer 8

\[y(x^2-1)=x \sqrt{x^2 +4}\]
\[\frac{\mathrm d}{\mathrm dx}\left( y\times (x^2-1)\right)=\frac{\mathrm d}{\mathrm dx}\left(x \times\sqrt{x^2 +4}\right)\]
\[\frac{\mathrm dy}{\mathrm dx} \times (x^2-1)+y\times \frac{\mathrm d}{\mathrm dx} (x^2-1)=\frac{\mathrm dx}{\mathrm dx} \times\sqrt{x^2 +4}+x\frac{\mathrm d}{\mathrm dx}\left(\sqrt{x^2 +4}\right) \]

Answer 9

i got it so far!!

Answer 10

yeah i've just use the product rule ,

can you simplify those derivatives?

Answer 11

yes i can but the result (answer) is not same as i want!!

Answer 12

can you shown me some of your working

Answer 13

okay

Answer 14

2 is cancel by 2

Answer 15

where did you get this term from ?