The function $f(x)=\frac{x^4}{4}-\frac{x^2}{2}$ has
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 2 points of local minima and one point of local maxima
$f(x)=\frac{x^4}{4}-\frac{x^2}{2}$
$f'(x)=x^3-x=0$
$⇒x(x^2-1)=0$
$x=0,1,-1$
Using wavy curve method
Points of local maxima ⇒ 0
Points of local minima ⇒ -1,1