anonymous
  • anonymous
y= x^4-6x^3+12x^2-8x+1. find the maxima,minima and pt of infliction ... help
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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campbell_st
  • campbell_st
what dis you get as the 1st and 2nd derivatives..?
anonymous
  • anonymous
yes sir ... how do i find my x?
campbell_st
  • campbell_st
do you know how to differentiate...?

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anonymous
  • anonymous
not really... plz help me?
campbell_st
  • campbell_st
this is a complex question... so its a bit hard to answer. I think you need to work on differentiating... before attempting a question like this...
anonymous
  • anonymous
i guess .. i need to work hard 4 it :))
anonymous
  • anonymous
oh it will help me a lot ... thanks @campbell_st
anonymous
  • anonymous
The maxima, minima and point of inflexion will occur at the point where dy/dx = 0 we will need to find dy/dx, do you want to do that?
anonymous
  • anonymous
lol [:
anonymous
  • anonymous
do you want to find dy/dx, that is the next step @patbigFat
anonymous
  • anonymous
yes...
anonymous
  • anonymous
|dw:1378028061831:dw|
anonymous
  • anonymous
ok go ahead
anonymous
  • anonymous
|dw:1378028162119:dw|
anonymous
  • anonymous
\[4x^3-18x^2+24x-8\]
anonymous
  • anonymous
we will need to equate to zero but we need to find the expression from the given y i just wrote a general derivative for polynomial terms on the top right corner on the board.
anonymous
  • anonymous
also good that is right! :)
anonymous
  • anonymous
whats next? 2nd deriv?
anonymous
  • anonymous
|dw:1378028230967:dw|
anonymous
  • anonymous
now we need to solve for x for which that equation is true
anonymous
  • anonymous
are you familiar with solving polynomial equations?
anonymous
  • anonymous
by factoring them?
anonymous
  • anonymous
or divide it into 4?
anonymous
  • anonymous
|dw:1378028302992:dw|
anonymous
  • anonymous
yes, you're right!
anonymous
  • anonymous
18 cannot be divided by 4 but we can divide by 2, good thought
anonymous
  • anonymous
|dw:1378028400879:dw|
anonymous
  • anonymous
so we need to factor the new equation, are you familiar with the procedure or you want me to lay it out how it is done?
anonymous
  • anonymous
just show me ... will u?
anonymous
  • anonymous
@patbigFat ok, we need to find the first factor by finding a value of x for which the expression on the left is zero
anonymous
  • anonymous
ur right @campbell_st
anonymous
  • anonymous
and what does the rational root theorem says? i was thinking of using the factor, theorem to find first root and then dividing to find the other roots should i proceed with that?
anonymous
  • anonymous
well .. its ok
anonymous
  • anonymous
or you can go on with your way, if you think its easier for you. [: Good luck!
anonymous
  • anonymous
ok ,,, ill do it .. :))
campbell_st
  • campbell_st
you'll also need some synthetic division... or polynomial division... and using factor theorem 1st is a guess and check method...
goformit100
  • goformit100
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