Question

use the derivative to determine whether the
function is strictly monotonic on its entire domain and therefore
has an inverse function
f(x)=x^3-6x^2+12x

Answer 1

\[f'(x)=3x^2-12x+12\] right?

Answer 2

x^3-6x^2+12x

Answer 3

which turns out to be
\[f'(x)=3(x-2)^2\] whose only zero is at \(x=2\)