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Mathematics 28 Online
OpenStudy (iwanttogotostanford):

HELP ASAP

OpenStudy (sanoofy):

What is the question?

OpenStudy (solomonzelman):

What does ASAP mean?

OpenStudy (sanoofy):

As soon as possible. @SolomonZelman

OpenStudy (solomonzelman):

I meant to emphasize, or to allude to the delay.

OpenStudy (solomonzelman):

Which question do you want, #1, #2, or both?

OpenStudy (solomonzelman):

yes, #1 is right.

OpenStudy (solomonzelman):

yes, you are right!

OpenStudy (iwanttogotostanford):

-24!?

OpenStudy (iwanttogotostanford):

@SolomonZelman

OpenStudy (solomonzelman):

I don't know yet, but I will do this problem in a few eye blinks right now, give me some time please.

OpenStudy (solomonzelman):

We want the coefficient of the \(x^2\) term in the \(f''(x)\), and we know that if \(x^2\) is in the second derivative, then we are looking for the function's \(x^4\) term.

OpenStudy (solomonzelman):

Which term is this going to be? \(x^3\times (-8x)+(3x^2)\times (-6x^2)\)

OpenStudy (solomonzelman):

\(=(-8-18)x^4=-26x^4\)

OpenStudy (solomonzelman):

So your result is sadly, but obviously already incorrect, because the magnitude of your coefficient for \(x^2\) in \(f''(x)\) is smaller than the current coefficient of the \(x^4\) term. Right?

OpenStudy (solomonzelman):

having found the \(x^4\) term in \(f(x)\) to be \(-26x^4\), what is the coefficient of \(x^2\) in the second derivative?

OpenStudy (solomonzelman):

\(\color{black}{\displaystyle D^2[-26x^4]=? }\)

OpenStudy (solomonzelman):

(What is the second derivative of -26x^4 ?)

OpenStudy (iwanttogotostanford):

omg i already worked it out am i right or not?????> @SolomonZelman

OpenStudy (solomonzelman):

I just told you were not right.

OpenStudy (solomonzelman):

-26 is the current coefficient of \(x^4\) term in the \(f(x)\).

OpenStudy (solomonzelman):

So, if the coefficient of \(x^4\) in \(f(x)\) is \(-26\), then the coefficient of \(x^2\) in \(f''(x)\) is? (All you got to do, is to differentiate twice)

OpenStudy (solomonzelman):

Do you know how to take a derivative?

OpenStudy (solomonzelman):

What is the (first) derivative of \(-26x^4\) ?

OpenStudy (solomonzelman):

yes

OpenStudy (solomonzelman):

and what is the (first) derivative of -104x^3 ?

OpenStudy (solomonzelman):

(Note: The first derivative of -104x^3, is the same thing as the second derivative of -26x^2.)

OpenStudy (solomonzelman):

Yes.

OpenStudy (solomonzelman):

So the desired coefficient is ?

OpenStudy (iwanttogotostanford):

x^2

OpenStudy (iwanttogotostanford):

???? @SolomonZelman why did u leave

OpenStudy (solomonzelman):

Something happened, and I had to refresh.

OpenStudy (solomonzelman):

yes, -312 is correct.

OpenStudy (solomonzelman):

Yes, I am sure. yw

OpenStudy (solomonzelman):

Yes, for #3.

OpenStudy (solomonzelman):

Yes, for #4.

OpenStudy (iwanttogotostanford):

ah yes thank you so much!! can ia sk you some more calculus questions later on?????

OpenStudy (solomonzelman):

Anybody can definitely ASK me anything ... whether I answers depends on 3 criteria: time, willingness, and knowledge.

OpenStudy (solomonzelman):

I don't want to give any empty promises, will see how it goes. YW

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