How to differentiate e^x * ln(x) using the product rule

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How to differentiate e^x * ln(x) using the product rule

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Saved my neck on an excercise I couldn't resolve. Thanks a lot! Greetings from Argentina.

puntero
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I am from India. Me and my friends searched this question in many places but found it here. Thank you

entrepreneurbaccha
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Sir thank you so much love from India ❤️

kritinanishwajoka
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can anyone tell me how to resolve e^(x.lnx ) , (note : not e^x . lnx )

kunal-ez