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

Question

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.

Accepted Answer

Local minimum at $f (x) = x^{4} \ln (x) - 4 x^{4}$ .

Answer

Local maximum at $f (x) = x^{4} \ln (x) - 4 x^{4}$ .

Answer

Local minimum at $f (x) = x^{4} \ln (x) - 4 x^{4}$ ,

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

Answer

Local maximum at $f (x) = x^{4} \ln (x) - 4 x^{4}$ ,

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

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.