Help with a differentiating question.

Printable View

December 19th 2008, 03:20 AM
bluebiro

1 Attachment(s)

Help with a differentiating question.

Find dy/dx if
(attachment)

Many thanks!
December 19th 2008, 04:37 AM
Grandad

Differentiating

Hi-

Just differentiate $2y^3t+t^3y=1$ with respect to $x$ , using the product rule to get:

$2y^3\frac{dt}{dx}+3y^2\frac{dy}{dx}t +t^3\frac{dy}{dx}+3t^2\frac{dt}{dx}y=0$

Now collect together the terms in $\frac{dt}{dx}$ and $\frac{dy}{dx}$ , substitute $\frac{dt}{dx}=\frac{1}{\cos t}$ and the job's done.

Grandad

All times are GMT -8. The time now is 10:45 PM.

Copyright © 2005-2014 Math Help Forum. All rights reserved.

Copyright © 2005-2014 Math Help Forum. All rights reserved.