Find the following derivatives. \ln(\frac{x+3}{x^{2}})

Tolnaio

Tolnaio

Answered question

2021-10-19

Find the following derivatives.
ln(x+3x2)

Answer & Explanation

Layton

Layton

Skilled2021-10-20Added 89 answers

The given function is:
f(x)=ln(x+3x2)
Now using property of logarithmic function:
ln(x+3x2)=ln(x+3)ln(x2)
ln(x+3x2)=ln(x+3)2ln(x)
Now the derivative of the given function is:
ddx[ln(x+3x2)]=ddx(ln(x+3)2ln(x))
ddx[ln(x+3x2)]=ddx(ln(x+3))ddx(2lnx)
ddx[ln(x+3x2)]=1x+32x
ddx[ln(x+3x2)]=x6x(x+3).
Jeffrey Jordon

Jeffrey Jordon

Expert2022-11-14Added 2605 answers

Answer is given below (on video)

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