- #1
MitsuShai
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Homework Statement
Given
Homework Equations
The Attempt at a Solution
Last edited:
If I remember correctly, f(x) is an increasing function for f'(x) > 0 and a decreasing function for f'(x)< 0.
How did you get that?
Now how about d and e?
Here's a clue...
What is the shape of the graph when the derivative is zero?
Hmm...
I'm sorry, but I don't get (-1,3) for increasing...
The derivative is this, as you have written, correct?
[tex]\frac{5(1-x)(x-1)}{(3x^2-10x+3)^2}[/tex]
Ignore the denominator... where is the numerator zero? Where are each of the three components zero?
I said ignore the denominator... if the denominator is zero, your graph is really screwing up.
OK, so you know the graph of the derivative is zero at -1 and 1.
Thus, the minimum and the maximum must be at those two points.
There's a singularity at x=1/3, which is in (-1,1). That's probably why.
Oh...
So it would be -1<x<1, x=/=(1/3) then...
Yes, exactly. The function isn't increasing at x=1/3 because it isn't defined there, so you have to split the interval as you have done.
What happens between x=-2 and x=-1?