Calculate the derivative of the following function f(x)-\ln\frac{(2x-1)(x+2)^3}{(1-4x)^2}

Krzychau1 2021-12-18 Answered
Calculate the derivative of the following function
f(x)ln(2x1)(x+2)3(14x)2
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Expert Answer

otoplilp1
Answered 2021-12-19 Author has 41 answers
f(x)ln(2x1)(x+2)3(14x)2
f(x)=ln((2x1)(x+2)3)ln(14x)2[ln(ab)=lnalnb]
f(x)=ln(2x1)+ln(x+2)3ln(14x)2[ln(ab)=lna+lnb]
f(x)=ln(2x1)+3ln(x+2)2ln(14x)[ln(xn)=nlnx]
f(x)=ddxln(2x1)+3ddxln(x+2)2ddxln(14x)
=12x1ddx(2x1)+3x+2ddx(x+2)214xddx(14x)
[ddxlnx=1x]
=12x1(210)+3x+2(1+0)214x(041)[ddxx=1]
Heather Fulton
Answered 2021-12-20 Author has 31 answers

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