Question

Please Help Me solve this question!
This is a log question

Answer 1

Answer:

option (A) is correct

$y = log( {e}^{ {x}^{5} } ) . log( {x}^{5} ) \\ \\ \frac{dy}{dx} = \frac{d}{dx} ({x}^{5} .5 log(x) ) \\ \\ = 5 \frac{d}{dx} ({x}^{5} log(x)) \\ \\ \\ \\ = 5( {x}^{4} + 5 {x}^{4} log(x) ) \\ \\ = 5 {x}^{4} (1 + 5 log(x) )$