I have this problem that I'm going to make the derivative of:

The next step i'm confused about:

I think I am overlooking something here...

How does the come to be squared? Underneath the 6000.

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- June 22nd 2011, 07:20 PMsara213About the chain rule
I have this problem that I'm going to make the derivative of:

The next step i'm confused about:

I think I am overlooking something here...

How does the come to be squared? Underneath the 6000. - June 22nd 2011, 07:43 PMTKHunnyRe: About the chain rule
Standard Exponent Rule, isn't it?

For suitable values of 'a', we have

a = -1 is a suitable value. - June 22nd 2011, 08:59 PMSorobanRe: About the chain rule
Hello, sara213!

Quote:

Differentiate: .

The next step i'm confused about:

. not quite right

I think I am overlooking something here . . .

How does the come to be squared? Underneath the 6000?

Are youyou know your differentiation rules?*sure*

You can use the Quotient Rule,

. . which ends with "over the denominator squared".

Or use an easier way . . .

We have: .

Chain Rule: .

. . . . . . . . . .

- June 22nd 2011, 09:09 PMsara213Re: About the chain rule
- June 23rd 2011, 01:13 AMbugatti79Re: About the chain rule
- June 23rd 2011, 05:15 AMHallsofIvyRe: About the chain rule
When your numerator is a constant, as here, it is perhaps easier to think of the problem as having a negative exponent:

Now, that the derivative is

So you can think of the denominator being being**squared**as a result of either the quotient rule or simply the power rule: with n= -1 so that n-1= -1-1= -2.

Note that to finish you will need the fact that the derivative of is . - June 23rd 2011, 05:30 AMPlatoRe: About the chain rule
- June 23rd 2011, 06:06 AMsara213Re: About the chain rule