Question: 1. Consider the function f ( x ) = 5 e 4 x /2 x 6. Determine the x -coordinates of the critical points. Enter

1. Consider the function f(x) = 5e⁴^x/2x 6. Determine thex-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 iff(x) does not have any critical points.

2.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.

3.Determine whether each statement is true or false. The derivative of e³^x is equal to e³^x.True or False

The derivative of e^x f(x) is equal to e^x [f(x) + f'(x)].True or False

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