product rule derivative check!

**jvignacio** · September 8th 2008, 01:31 AM

$ y = x^2cscx\sqrt{x^2+1} $

its derivative is :

$ y' = 2xcscx\sqrt{x^2+1} - x^2cotxcscx\sqrt{x^2+1} + x^2cscx\frac{1}{2\sqrt{x^2+1}} $

correct?

**11rdc11** · September 8th 2008, 01:45 AM

Not quite

$y' = 2xcscx\sqrt{x^2+1} - \bigg(x^2cotxcscx\sqrt{x^2+1}\bigg)\bigg(\frac{2x} {2\sqrt{x^2+1}}\bigg)$

Oops nevermind didn't see that there was an x behinf the csc

**jvignacio** · September 8th 2008, 01:50 AM

Originally Posted by 11rdc11

Not quite

$y' = 2xcscx\sqrt{x^2+1} - \bigg(x^2cotxcscx\sqrt{x^2+1}\bigg)\bigg(\frac{2x} {2\sqrt{x^2+1}}\bigg)$

hrmm what happened to the $+ x^2cscx$ ? and the 2x where it come from? thank u

**jvignacio** · September 8th 2008, 01:54 AM

Originally Posted by 11rdc11

Not quite

$y' = 2xcscx\sqrt{x^2+1} - \bigg(x^2cotxcscx\sqrt{x^2+1}\bigg)\bigg(\frac{2x} {2\sqrt{x^2+1}}\bigg)$

Oops nevermind didn't see that there was an x behinf the csc

so is mine okay ?

**jvignacio** · September 8th 2008, 02:09 AM

$ $ $y' = 2xcscx\sqrt{x^2+1} - (x^2cotxcscx\sqrt{x^2+1}) + x^2cscx\frac{2x}{2\sqrt{x^2+1}}$ $

as my final answer?

**11rdc11** · September 8th 2008, 02:09 AM

Quick question is it

$x^2csc(x\sqrt{x^2 -1})$

or

$x^2(cscx)(\sqrt{x^2-1})$

**jvignacio** · September 8th 2008, 02:12 AM

Originally Posted by jvignacio

so is mine okay ?

$ y' = 2xcscx\sqrt{x^2+1} - (x^2cotxcscx\sqrt{x^2+1}) + x^2cscx\frac{x}{\sqrt{x^2+1}} $

as my final answer?

**jvignacio** · September 8th 2008, 02:13 AM

Originally Posted by 11rdc11

Quick question is it

$x^2csc(x\sqrt{x^2 -1})$

or

$x^2(cscx)(\sqrt{x^2-1})$

its the 2nd one

**Chop Suey** · September 8th 2008, 02:33 AM

Originally Posted by jvignacio

$ y' = 2xcscx\sqrt{x^2+1} - (x^2cotxcscx\sqrt{x^2+1}) + x^2cscx\frac{x}{\sqrt{x^2+1}} $

as my final answer?

Yes, you are right.

**jvignacio** · September 8th 2008, 02:36 AM

Originally Posted by Chop Suey

yes.

thank u!!

Thread: product rule derivative check!

LinkBack

Thread Tools

Display

product rule derivative check!

Similar Math Help Forum Discussions

Derivative by using product rule

[SOLVED] Chain rule derivative- double check this please?

Help with a question involving chain rule + product rule (derivative)

Derivative using the product rule

Find derivative using product rule....

Search Tags