Question

Find the critical points of the following functions.
$f\left(x\right)=(x^2-4{)}^{10}$

Answer 1

$f\left(x\right)=(x^2-4{)}^{10}$

$⟹f^{\prime }\left(x\right)=10(x^2-4)\left(2x\right)$

For, critical points, we put $f^{\prime }\left(x\right)=0$

$⟹x=0$ and $x^2-4=0$

$⟹x=-2,0,2$

These points that are -2,0,2 are the critical points