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)=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.

Accepted Answer

Local maximum at x=1x=1, Local minimum at x=3x=3.

Answer

Local maximum at x=−3x=-3, Local minimum at x=−1x=-1.

Answer

Local minimum at x=1x=1,Local maximum at x=3x=3.

Answer

Local minimum at x=−3x=-3,Local maximum at x=−1x=-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.