So, to do the second derivative test you basically do the same thing as the long way of the first one just with the second derivative.
First: Take the derivative and set =0(haha a face) and solve
Next: Take the 2nd derivative and set =0 and solve
Thirdlyful: Take the 3rd derivat... I mean check to see if its differentiable and find out where its not
AfterStep3: Set up Intervalmajiggers
Fifth: Pick some numbers from your intervals and plug into the second derivative
Next: If you get positive, you have ai...i mean its concave up, if negative you aren't preg...i mean its concave down
Lastly: Where it goes from up to down, or down to up, or up to not up, there is a point of inflection, which is apparently important.
Fifth: Pick some numbers from your intervals and plug into the second derivative
Next: If you get positive, you have ai...i mean its concave up, if negative you aren't preg...i mean its concave down
Lastly: Where it goes from up to down, or down to up, or up to not up, there is a point of inflection, which is apparently important.
First derivative test shortcut oh my
First, take the derivative set =0(theres that face again) and solve
next, find your not differentiable areas
third, plug in critical points to the second derivative
last: if positive you get a min, negative its not a min, 0 then you suc... i mean the test doesn't work
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