find-the-critical-points-of-hx-x3-6x2-9x-and-use-the-second-derivative-test-to-i

Question

Locate the critical points of $h (x) = x^{3} - 6 x^{2} + 9 x$ , and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.

Accepted Answer

Local maximum at $x=1$ ,

Local minimum at $x=3$ .

Answer

Local maximum at $x=1$ ,

Local minimum at $x=-1$ .

Answer

Local minimum at $x=1$ ,

Local maximum at $x=3$ .

Answer

Local minimum at $h (x) = x^{3} - 6 x^{2} + 9 x$ ,

Local maximum at $x = - 1$ .

Locate the critical points of h(x)=x3−6x2+9xh\left(x\right)=x^3-6x^2+9x, and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.

Locate the critical points of $h (x) = x^{3} - 6 x^{2} + 9 x$ , and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.