What is the derivative of \ln(3x) ?

Agohofidov6

Agohofidov6

Answered question

2021-12-11

What is the derivative of ln(3x) ?

Answer & Explanation

esfloravaou

esfloravaou

Beginner2021-12-12Added 43 answers

ln(3x)=y 
ey=3x 
Use implicit differentiation right now. Keep in mind: 
 dy  dy  dy  dx = dy  dx  
If implicit differentiation is used... 
ey=3x 
Should transform into... 
ey dy  dx =3 
Therefore: 
 dy  dx =3ey 
 dy  dx =33x 
 dy  dx =1x 
You could also differentiate it like this... 
y=ln(3x) 
y=ln(3)+ln(x) 
*Because of logarithmic rules. 
 dy  dx =1x

censoratojk

censoratojk

Beginner2021-12-13Added 46 answers

Everything is simple and clear, there is nothing to add, handsome

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