Find the derivative of the function y=ln ((x)/(x+5)) y'=?

gheadarce

gheadarce

Answered question

2022-11-24

Find the derivative of the function
y = ln ( x x + 5 )
y = ?

Answer & Explanation

Beckham Krueger

Beckham Krueger

Beginner2022-11-25Added 7 answers

To find the derivatives of the functions
y = ln ( x x + 5 )
Now,
y = ln ( x x + 5 ) y = ln ( x ) ln ( x + 5 )
Differentiate both sides, with respect to x, we get
d y d x = d d x ln ( x ) d d x ln ( x + 5 ) = 1 x 1 x + 5 = x + 5 x x ( x + 5 ) = 5 x ( x + 5 )
Hence, y = 5 x ( x + 5 )

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