Derivative of ln3: Simple Problem Solution

[BuBbLeS01]

Homework Statement

ln (2x^2 + 3)

Homework Equations

ln 2x^2 + ln 3

The Attempt at a Solution

(4x/2x^2) + (3/3)
(2x/x^2) + 1

I know this is a simple problem but what is the derivative of ln3? Is it 1 (3/3) or 0?

 

[rocomath]

properties of logs

\ln(ab)=\ln(a)+\ln(b)

what you have is

\ln(a+b)=\ln(a+b)

example

\ln(x^{2}+3)

differentiating

\frac{2x}{x^{2}+3}

 

[BuBbLeS01]

example

\ln(x^2)

differentiating

\frac{2x}{x^2}

properties of logs

\ln(ab)=\ln(a)+\ln(b)

Can't you distribute the ln to get lna + lnb? I don't know what the derivative of ln3 is? Is it 3/3 or 0/3.

 

[rocomath]

Can't you distribute the ln to get lna + lnb? I don't know what the derivative of ln3 is? Is it 3/3 or 0/3.

i just updated my post, i clicked submit on accident while trying to preview.

 

[BuBbLeS01]

Oh okay I see now. So it would be...
(4x)/(2x^2 + 3)
(2x)/(x^2 + 3)