Properties of Natural Logarithm I need help finding the Derivative y = ln &#x2061;<!--

Yasmin Camacho

Yasmin Camacho

Answered question

2022-05-22

Properties of Natural Logarithm I need help finding the Derivative
y = ln ( x ) 2
I am not sure why the answer would be 2 ln ( x ) x
I used this property "power rule" " ln ( x n ) = n ln ( x )
So i got 2 ln ( x )
the derivative of that using the constant multiplier rule i got
2 x
can I use the other chain rule to y = f ( u ) and g = g ( x ) Am i not supposed to bring that 2 in front becuase the whole expression is getting raised not the x? Any help would be great,

Answer & Explanation

tradirasi

tradirasi

Beginner2022-05-23Added 6 answers

Apply the chain rule with f ( x ) := x 2 , g ( x ) := log x
( f ( g ( x ) ) ) = f ( g ( x ) ) g ( x )
( log x ) 2 = 2 log x 1 x = 2 log x x

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