differentiaition

[peak tangle]

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[steel osprey]

A function f(x) is increasing where f'(x) > 0.

Well, we have f(x) = 2x^2 (x - 5). What is f'(x)?

No, why again?

No. I didn't mention the second derivative.

Try it yourself. Find the derivative.

Um... You just said you found the derivative above, and now you are asking what it is?

Here.

No, what I mean is that if you tried to do this again, then that means you already did it once.

Well, that's the derivative.

What did you get?

Yeah, y' = 6x^2 - 20x.
So, to find where y is increasing, solve y' > 0.