Calculate: d/dx xlnx-x

trumansoftjf0

trumansoftjf0

Answered question

2022-11-09

Calculate:
d d x x ln x x

Answer & Explanation

mangoslush27fig

mangoslush27fig

Beginner2022-11-10Added 15 answers

Use Sum Rule: d d x f ( x ) + g ( x ) = ( d d x f ( x ) ) + ( d d x g ( x ) )
( d d x x ln x ) + ( d d x x )
Use Product Rule to find the derivative of x l n x.The product rule states that ( f g ) = f g + f g .
( d d x x ) ln x + x ( d d x ln x ) + ( d d x x )
Use Power Rule: d d x x n = n x n 1
ln x + x ( d d x ln x ) + ( d d x x )
The derivative of ln x is 1 x
ln x + 1 + ( d d x x )
Use Power Rule: d d x x n = n x n 1
ln x

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