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  • hba

Checking my answers if f(x)=x^3-9x^2+15x+3 What is the relative maxima ?

Mathematics
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  • hba
I got 10.
Really??
  • hba
Yeah really.

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Other answers:

It will be right as it is calculated by the Great @hba ha ha ha..
  • hba
Thanks.
  • hba
I have more question to get checked can i ask here or in a new post.
I don't know how to solve these types of questions.. Can you teach me how to solve it..??
  • hba
@waterineyes Ha Ha Ha Nice joke,first let me ask my questions.
First, we will take derivative.. Right??
  • hba
Yeah.
So wait, I am doing it..
  • hba
okay :(
f'(x) = 3x^2 - 18x + 15
there are two extrema, 1 relative maximum and 1 relative minimum.
Should I factorize it??
  • hba
put f'(x)=0
Yes I mean the same..
  • hba
Then the answer is yes
\[x^2 - 6x + 5 = 0 \implies (x - 5)(x - 1) = 0\]
x = 5 and x = 1
  • hba
Yes you are right
  • hba
Now put 1 in the orignal equation.
Why not 5 ??
  • hba
Because we are finding the relative maxima
f(1) = 10
oooh, i misread the problem. relative maxima.
  • hba
Correct.
So, we have to put smaller value??
  • hba
Yes.
Just checking your answer.. Ha ha ha..
Now don't say, to find relative minima, we will put 5..
  • hba
|dw:1355817149046:dw|
  • hba
@waterineyes Check these two questions.
How to solve these now??
  • hba
I got f'(x)=e in both the cases.
  • hba
And f''(x)=1/e for 1st and f''(x)=e in the 2nd one.
  • hba
So i am right ?
Are you sure it is e ??
  • hba
Pretty sure Because i did this one like 100 times when i was in High school
You have used division rule here??
  • hba
U/V form.
For first : \[f'(x) = \frac{1 - \ln(x)}{x^2}\]
  • hba
Wait lemme check.
Take your time..
  • hba
Yeah right
  • hba
Who is right??
  • hba
The most intelligent @waterineyes
Not intelligent as you @hba
Now, find the second derivative..
  • hba
Ha Ha Ha Yeah wait.
  • hba
I am getting something,which looks extremly wrong :/
  • hba
@waterineyes Here you go \[f''(x)=-x-2x+2lnx/x^4\] I kow it's wrong :/
Sorry busy helping other person..
Now I think, if it was e then it will be simpler..
Wait, let me check..
  • hba
ok
You can add first two terms in the numerator..
  • hba
Yeah i can add them so, \[f''(x)=-3x+2lnx/x^2\]
  • hba
  • hba
@waterineyes Ansoo kahan ho tum ?
  • hba
@waterineyes Answer tau sahi hai mera,Is ki working mushkil hai :/
Now what to do next??
I had a guest in home so busy there.. Sorry, let us now work together..
There??
  • hba
yeah
  • hba
@waterineyes Where should i continue ?
What we will do next after finding second derivative?? To find extreme value..
  • hba
put it equal to 0
\[2 \ln(x) = 3x\]
Where are we going?? Is that right??
  • hba
i think we should skip these lol,I am pretty sure about my answers :) Do you know what is a stationary point ?
The point which is stationary is called Stationary Point, that's it..!!!
  • hba
So, if f(x)=ln(1+x^2) What will be the stationary point ?
I think I should go now.. Ha ha ha.. Seriously, don't know..
  • hba
Gurpreet :/ Chalo Bye.

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