dy/dx
if we find the general antiderivitive
y=(1/2)x²+C
C is a constant
so then it is quaratic
I is answer
I don't think the teacher wanted you to solve it like this so
dy/dx means the slope at x
the slope at x=x is x
might be confusing, but think a little bit
when x increases, the slope at x increases
sounds like an exponential or quadratic
when x decreases, the slope also decreses
when x becomes negative, the slope is negative,
so when x=0, slope is 0
when x>0, slope>0
when x<0, slope<0
we got a parabola
this is quadratic
it isn't exponential because the sloepe in exponential will decrease but never reach zero (only approach it)
answer is I
first option