find the derivative of f(x) = 3x cos 6x .

- anonymous

find the derivative of f(x) = 3x cos 6x .

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- chestercat

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- Mimi_x3

\[\frac{d}{dx}3xcos6x\]
Do you know the product rule?

- anonymous

yes

- Mimi_x3

So, what have you done?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- anonymous

but how would i use it in this case

- Mimi_x3

Where are you having problems?

- anonymous

may someone please show me step by step how to do this. my professor sucks and is currently being investigated by the math dept here because of it so yeah...

- anonymous

Here is a great site to help you with your math! www. mathway.com! :)

- anonymous

That site will provide you with a step by step! :D

- anonymous

mathway is not credible

- Mimi_x3

Well, have you atleast tried it?

- anonymous

How i learn a lot from that site...

- anonymous

You just have to sign up to get the step by step part!! :) It helps me a ton...

- anonymous

i have missed many questions from its wrong answers. wolframalpha is more reliable

- anonymous

Okay. maybe you just type them in wrong... it always helps me :D

- anonymous

I dont use it for tests though... i use it for help... you use it for tests?

- anonymous

okay sure but anyways thanks bye. now back to the question i need help with

- Mimi_x3

@tinagca: Please don't divert people to another site; when someone is trying to help them.

- anonymous

Mkay! later :D

- anonymous

I was trying to give her a step by step site :o

- Mimi_x3

That was retarded; interjecting out of the blue.

- anonymous

please folks i really need help the bantering can be spared

- anonymous

Oh shut up. like seriously i was trying to help then you guys started being rude. So whatever, a simple thank you and just saying " Oh i already tried that site" would have been fine.

- zepdrix

|dw:1350314820570:dw|

- anonymous

thank you zepdrix u are always so helpful

- zepdrix

so do it piece by piece :) We have a (3x)', what is the derivative of 3x? :D

- anonymous

simply 3

- zepdrix

ok cool, so the first term will simplify to (3)(cos6x).
Hmm now we have a (cos6x)' on the right side.
We'll take the derivative of the outermost function (cosine)
Then "chain" (multiply by the derivative of the inside (6x)' )
So whats the derivative of cos6x? :D

- anonymous

-6sin(6x)

- anonymous

right

- zepdrix

Yay sandy \c:/

- anonymous

You should give @zepdrix a medal @sandy524 ...i mean, that was a great answer!

- zepdrix

lol tina c:

- anonymous

:) I gave you a medal! :D

- anonymous

ok so after that what do we do

- zepdrix

Just combine the pieces together and simplify :D
So far we've figured out that the derivative is
(3)(cos6x) + (3x)(-6sin6x)
=3cos6x -18xsin6x
Make sense? :D

Looking for something else?

Not the answer you are looking for? Search for more explanations.