Thread: Simplify then differentiate times 3

Hi All,

Could you please show me how to:

Simplify then differentiate the following

a. IN ( (x-1)^1/2 / x^2 + 1 ) which is square root of x -1 over x squared + 1



b. log ( (x^2 - 2x )x^1/2 ) which is x squared - 2x. square root of x


c. log e pie^x which is log e pie to the power of x

You REALLY must get a grip on your notation.

log
ln

These are both logarithms. There is no need to use "IN" because you think it is something else. Both follow regular logarithm rules.

pie is for eating
pi is for mathematics and Greek spellers.

Having said that, use your log rules. Remember these...

log(a*b) = log(a) + log(b)

log(a/b) = log(a) - log(b)

log(a^b) = b*log(a)

Let's see what you get.