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anshu dhamiwal Grade:
        the curve y=x3+x2-x has two horizontal tangents ..the distance b/w these two tangents is 
7 years ago

Answers : (2)

AKASH GOYAL AskiitiansExpert-IITD
419 Points
										

Dear Anshu


For horizontal tangents put y'=0 from which one can get


x=1/3 and -1 get the corresponding y value which are-5/27 and 1


So the distance between horizontal tangents is 5/27+1=32/27


All the best.


AKASH GOYAL


AskiitiansExpert-IITD


 


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7 years ago
vikas askiitian expert
510 Points
										

y=x^3 + x^2 -x


dy/dx =3x^2 + 2x -1


slope of horizontal tangent(dy/dx) = 0


3x^2 + 2x -1=0


x=-1,1/3


y=1,-5/27


tangents are y=1 and y=-5/27


 distance  bw tangents=32/27

7 years ago
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