How do I apply the product and chain rule to this equation?

[Spectre32]

OK I have this problem

dw/dt = w = r^2-s*tan(v)

And it gives the following:

r = sin^2(t)  s = cos(t) v = 4t

Soo...now Do i derive those still with respect to all those values? Or can i knock them all out in a line or two.

 

[stunner5000pt]

i don't quite understand how dw/dt = w

perhaps you have made an error in your code

 

[Spectre32]

No it's right... I think it's just saying that They want your answer to be liek
W = 'xxxxxxx'

 

[arildno]

It is incorrect; period.
the only functions satisfying dw/dt=w is w(t)=Ke^t for some K.
This does NOT agree with the last equality.

 

[Spectre32]

Hmmm whoops... this is how the problem reads: Find dw/dt if
w = 'xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx'

 

[arildno]

Count the number of x's you've got, then UNLEASH the chain rule.

 

[Spectre32]

... There are no X's in that problem. As i said is it best to go through and derive them all at once or so i got to like derive and multiply what each value holds. Everything Must be in terms of t

 

[arildno]

Please be more careful in your notatiton!

... There are no X's in that problem. As i said is it best to go through and derive them all at once or so i got to like derive and multiply what each value holds. Everything Must be in terms of t

You wrote:

"w = 'xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx'"

I know what you meant, now; you should have explicitly written that this was a substitute for the expression given in post 1.

 

[Spectre5]

w = r^2-s*tan(v)

You know what each part is in terms of t...that is what everyone is saying...now just bust out the product and chain rule...you hsould get the answer

we almost have the same name...