Could you help my solve the following example:

 

a(t)=(1+r^2)^3 (1-t^2)^4 sin^3 t

 

Many Thanks

Is this coursework?

In which case it belongs in homework help.

 

What happens if you take the log of both sides of your equation and then differentiate each side?

Could you help my solve the following example:

 

a(t)=(1+r^2)^3 (1-t^2)^4 sin^3 t

 

Many Thanks

You are taking the derivative in regards to which variable? If so, is r the constant or simply another variable? We need more information.

You are taking the derivative in regards to which variable? If so, is r the constant or simply another variable? We need more information.

i presume the op meant to put another t there (t and r are just so close together lol), and thus the derivative is wrt t.

Edited May 8, 201510 yr by andrewcellini

It is just a very tedious but plain derivative iff r should be t . I would love to see a quick route - but you could just multiply the bugger out and then differentiate; no dramas just a lot of algebra.

 

If r is not t - then presuming A is not dependent on r - and given the A(t) I think that can be assumed then it is even easier