Break up the following function using laws of logarithms, then

Anika Osborne

Anika Osborne

Answered question

2022-01-22

Break up the following function using laws of logarithms, then compute the derivative. f(x)=ln(6(x+1)x3)

Answer & Explanation

Eleanor Shaffer

Eleanor Shaffer

Beginner2022-01-23Added 16 answers

Given function is as below :
f(x)=ln(6(x+1)x3)
Apply Log Rule
f(x)=ln(6(x+1)x3)
f(x)=ln6(x=1)lnx3
f(x)=ln6+ln(x+1)3ln(x)
Differentiate w.r.t to x
f(x)=ln6+ln(x+1)3ln(x)
f(x)=ddx(ln6+ln(x+1)3ln(x))
=0+1x+13x
x3(x+1)x(x+1)
2x3x(x+1)

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