1 Answer

Evan Cordeiro · Answer 1 · 2023-05-22T06:03:46+0000

we have the function

$f\mleft(x\mright)=xe^(\left(13x\right))$

Find out the first derivative

$f^(\prime)\mleft(x\mright)=e^((13x))+13xe^((13x))$

Find out the second derivative

$f^(\prime)^(\prime)\left(x\right)=26e^(\left(13x\right))+169xe^(\left(13x\right))$

Equate the second derivative to zero, to find out the turning point or inflection point

$26e^(\left(13x\right))+169xe^(\left(13x\right))=0$

the turning point is (-2/13,0)

therefore

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