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For what value of x does y=x-x^2 and y=x^2 have the same gradient?

Mathematics
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differentiate each and equate the derivatives
x=1/4
woah @akash123 where'd that come from?

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Other answers:

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

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