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Easy C1 Diffrentiation question

I dont know why i am being an idiot but how would i find the stationary point after finding that:

dy/dx = 6x +6x-2

I know that i would have to set it to 0, but i thought that would mean that x would have to be 0 but the mark scheme is saying that the point is (-1,7)
6x + 6/x2 = 0

6x3 + 6 = 0

keep going....
Original post by Appazap
I dont know why i am being an idiot but how would i find the stationary point after finding that:

dy/dx = 6x +6x-2

I know that i would have to set it to 0, but i thought that would mean that x would have to be 0 but the mark scheme is saying that the point is (-1,7)


Yeah so set it =0 and divide through by 6 to get x+x2=0x+x^{-2}=0. 0 can't be a solution because 020^{-2} is undefined. Multiplying through by x2x^2 yields x3+1=0x^3+1=0 which you can solve.
Reply 3
Original post by the bear
6x + 6/x2 = 0

6x3 + 6 = 0

keep going....


Original post by RDKGames
Yeah so set it =0 and divide through by 6 to get x+x2=0x+x^{-2}=0. 0 can't be a solution because 020^{-2} is undefined. Multiplying through by x2x^2 yields x3+1=0x^3+1=0 which you can solve.


Thank you guys. Bit of a cheeky question if you ask me but makes sense now! :smile:

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