Question

differentiate the following function: y= 6 log3 x

Answer 1

Do you know the differential of log x?

Answer 2

@tjsaff" The easiest derivative of a logarithmic function is that of y = ln x, the natural log of x. This derivative is a good starting point for the problem at hand.

Now suppose that you want to find the derivative of y = log x, the common log of x. The derivative of this function has some similarity to the derivative of y = ln x, but a certain adaptation must be made because the base of the common log is 10, not e.

Would you mind looking up and typing out the derivatives of

y = ln x

and

y = log x?

Once you've done this, we could move on to finding the derivative of \[y=\log_{3}x \]

Answer 3

I strongly suggest that you list these derivative formulas, along with others, for easy and convenient review and application next time you need them.