anonymous
  • anonymous
For what value of x does y=x-x^2 and y=x^2 have the same gradient?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
differentiate each and equate the derivatives
anonymous
  • anonymous
x=1/4
anonymous
  • anonymous
woah @akash123 where'd that come from?

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anonymous
  • anonymous
differentiate each and equate the derivatives
anonymous
  • anonymous
:)
anonymous
  • anonymous
You were scaring me there
anonymous
  • anonymous
@JJ1371 taking it in...
anonymous
  • anonymous
where? proving the collinearity..
anonymous
  • anonymous
no, just suddenly pulling an answer
anonymous
  • anonymous
oh...ok
anonymous
  • anonymous
sorry, the second y=x^3
anonymous
  • anonymous
Ok, follow the procedure
anonymous
  • anonymous
y=1+2x y=2x^2 1+2x = 2x^2 where to now?
anonymous
  • anonymous
now u have to solve this quadratic equation and find the values of x
anonymous
  • anonymous
1+2x = 3x^2
anonymous
  • anonymous
okay 2x^2-2x-1=0
anonymous
  • anonymous
derivative of x^3 = 3 x^2
anonymous
  • anonymous
how did you get that?
anonymous
  • anonymous
derivative of x^n = n x^(n-1)
anonymous
  • anonymous
oh right yeah
anonymous
  • anonymous
sorry
anonymous
  • anonymous
3x^2 - 2x -1 = 0 Quadratic equation?
anonymous
  • anonymous
wait! (x-3)(x+1) = 0
anonymous
  • anonymous
therefore x = 3 or x = -1?
anonymous
  • anonymous
no...3x^2 - 2x -1 = 0 =(x-3)(x+1) is wrong do the factorization again
anonymous
  • anonymous
damn
anonymous
  • anonymous
x = 1 or x=-(1/3)
anonymous
  • anonymous
yes?
anonymous
  • anonymous
yes...:)

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