Question: Consider the function f ( x ) = 6 x e 5 x . Determine the x -coordinates of the critical points. Enter your answer

Consider the function f(x) = 6x e⁵^x.

Determine the x-coordinates of the critical points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any critical points.

Consider the function f(x) = 2e⁵^x(50x² + 2). Determine the x-coordinates of the critical points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any critical points.

Consider the function f(x) = 5e⁴^x/2x 6.

Consider the function f(x) = e⁸^x². Determine the x-coordinates of the inflection points. Enter your answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if f(x) does not have any inflection points.

Determine the x-coordinates of the relative extrema of the function g(x) = xe⁶^x². Enter each answer as a comma-separated list of values. The order of the values does not matter. Enter DNE if g(x) does not have any relative maximum or minimum values, respectively. x-coordinates of the relative maxima =

x-coordinates of the relative minima =

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