Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
