Find the differential dy of the given function

y= (1/3) cos((6pi times x-1))/((2))

Can anyone help me with this problem?

Printable View

- Aug 4th 2011, 01:52 PMhomeylova223Strange differential problem?
Find the differential dy of the given function

y= (1/3) cos((6pi times x-1))/((2))

Can anyone help me with this problem? - Aug 4th 2011, 01:56 PMSironRe: Strange differential problem?
There's no variable in the given function, so that means ...

- Aug 4th 2011, 01:57 PMhomeylova223Re: Strange differential problem?
modify

- Aug 4th 2011, 02:00 PMSironRe: Strange differential problem?
That means you're taking the differential of a constant number, and what's the differential of a constant number?

(in general: ) - Aug 4th 2011, 02:10 PMhomeylova223Re: Strange differential problem?
Actually I have to admit I made a typo

y= (1/3) cos((6pi x-1))/((2)) is how it is correctly written

I am sorry... - Aug 4th 2011, 02:16 PMSironRe: Strange differential problem?
Do you know the chain rule? But write:

But it's still not clear, you have to be more clear with: or ? - Aug 4th 2011, 02:27 PMhomeylova223Re: Strange differential problem?
No in my textbook the problem is written

((1/3)) cos ((6pi times x-1))/((2))

The cos is outside the parenthesis

It can be tough being clear sometimes. - Aug 4th 2011, 02:32 PMpickslidesRe: Strange differential problem?
Either way you'll have to use the chain rule for this one.

- Aug 4th 2011, 02:32 PMskeeterRe: Strange differential problem?
- Aug 4th 2011, 02:36 PMhomeylova223Re: Strange differential problem?
Yes skeeter is correct.

I have to apply the chain rule.

Can anyone show me the first step? - Aug 4th 2011, 02:36 PMSironRe: Strange differential problem?
Modified

- Aug 4th 2011, 02:38 PMSironRe: Strange differential problem?
If you want to use the chain rule here:

. Can you go further? You don't have to use the quotienrule, just put outside, because it's a constant. - Aug 4th 2011, 02:44 PMhomeylova223Re: Strange differential problem?
Alright following Siron adivce

-sin((6pi times x-1))/((2)) times cos(6pi)(-1/2)

would this be correct? - Aug 4th 2011, 02:59 PMSironRe: Strange differential problem?
That's not correct, it has to be:

Can you now finish the differential of the given function. - Aug 4th 2011, 03:06 PMskeeterRe: Strange differential problem?