I don't understand how the derivative of

is

I tried it with both the quotient rule and the product rule and I didn't get the same answer. Because isn't the derivative of a constant always 0?

Please and thank you

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- Feb 17th 2008, 12:57 PMCenturionMonkeyHow does this work? (Derivatives)
I don't understand how the derivative of

is

I tried it with both the quotient rule and the product rule and I didn't get the same answer. Because isn't the derivative of a constant always 0?

Please and thank you - Feb 17th 2008, 01:19 PMCursed
Think of as a constant times a variable.

Apply the product rule:

Combine terms:

Simplify:

- Feb 17th 2008, 01:54 PMSoroban
Hello, CenturionMonkey!

Are you simplifying your answers?

You don't need any fancy rules.

. . That fraction is a.__constant__

Quote:

We have: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

If you insist on doing it the Long Way . . .

Product Rule

. . . .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

Quotient Rule

. . . .

- Feb 17th 2008, 02:36 PMCenturionMonkey
Oh i see it now, thanks a lot guys. Great help