locate-the-critical-points-of-fx-x4-ln-x-4x4-and-use-the-second-derivative-test-

Question

Locate the critical points of f(x)=x4ln⁡(x)−4x4f\left(x\right)=$$x^4$$\ln\left(x\$$right)-4x^4$$, and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.

Accepted Answer

Local minimum at x=e154x=$$e^{\frac{15}$${4}}.

Answer

Local maximum at x=e154x=$$e^{\frac{15}$${4}}.

Answer

Local minimum at x=0x=0, Local maximum at x=e154x=$$e^{\frac{15}$${4}}.

Answer

Local maximum at x=0x=0, Local minimum at x=e154x=$$e^{\frac{15}$${4}}.

Locate the critical points of f(x)=x4ln(x)−4x4f\(\left\)(x\(\right\))=x^4\(\ln\]\left\)(x\(\right\))-4x^4, and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.

Locate the critical points of $f (x) = x^{4} \ln (x) - 4 x^{4}$ , and use the Second Derivative Test to identify whether these points are local maxima, minima, or neither.