What is the derivative of y = ln 2 * log base 2 of x?

Question

Find dy/dx of y = ln 2 * log base 2 of x.

Answer 1

What is the derivative of y = ln 2 * log base 2 of x? Find dy/dx of y = ln 2 * log base 2 of x.

Detailed Solution:

y = ln 2 * log₂ x ==> y = (ln 2)( ln x)/(ln 2) ==> y = ln x

dy/dx = 1/x

Answer 2

Christine, "ln2" is a constant, so that will appear in the derivative unchanged just like the "3" if you are given y = 3x² y' =3*2x = 6x

If you know the way to change bases for logs, you can change log₂x into

(lnx)/(ln2) which should make the problem easy to solve.

Hope this helps--Andrew