locate-the-critical-points-of-fx-ex-2x-32-and-use-the-second-derivative-test-to-

Question

Locate the critical points of f(x)=ex(2x−3)2f\left(x\right)=$$e^{x}$$\left(2x-3\$$right)^2$$, and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.

Accepted Answer

Local maximum at ﻿x=−12x=-\frac12x=−21​﻿,Local minimum at ﻿x=32x=\frac32x=23​﻿.

Answer

Local minimum at ﻿x=−12x=-\frac12x=−21​﻿,Local maximum at ﻿x=32x=\frac32x=23​﻿.

Answer

Local maximum at x=−32x=-\frac32,Local minimum at x=12x=\frac12.

Answer

Local minimum at ﻿x=−32x=-\frac32x=−23​﻿,Local maximum at ﻿x=12x=\frac12x=21​﻿.

Locate the critical points of f(x)=ex(2x−3)2f\(\left\)(x\(\right\))=e^{x}\(\left\)(2x-3\(\right\))^2, and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.

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