college calculus

[lucid lance]

this question makes me insane

[ashen trellis]

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[frank musk]

1. The function is differentiable everywhere so find where derivative is zero.
2. derivative >0 implies strictly increasing, derivative <0 implies strictly decreasing
3. find where second derivative is zero and check whether any inflection points among them
4. find local minima, maxima and f(0), f(3) and then compare

@lucid lance

[lucid lance]

yeah but its still very hard to solve even with a calculator. im stuck in the 2nd hour with a calculator on my screen.

[frank musk]

wdym, it's a quadratic after you differentiate

[lucid lance]

i mean do you have any other method

[frank musk]

solve 3x^2 -8x +6 = 0

[lucid lance]

3x 2−8x+6=0

thx i already did it by myself

[glad hull]

You can simplify this a bit by cancelling the numerator and denominator by 2.

[frank musk]

in the context of the problem it means f is strictly increasing everywhere @lucid lance

[glad hull]

Oh, I see what you're doing. Yeah, only the real roots would count here.