Question

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Answer 1

derive from equation
dy/dx=1+1/2x^2
slope of equation is equale to dy/dx
11/2=1+1/2x^2
9/2=1/2x^2
so
x=+-1/3

Answer 2

that's the x coordinate but what about the y?

Answer 3

or is it -1/3, 1/3?

Answer 4

now put x=-+1/3 in the equation and find y
you will have two different y

Answer 5

how is that possible if the book says there is just 1x,1y?

Answer 6

do you get how to do that?

Answer 7

I got (1/3,-7/6) and (-1/3,7/6), is that right?

Answer 8

yes that's right :)

Answer 9

all i did was substitute 1,3 -1,3 back into x-1/2x, which is all it is?