Logarithms and Exponents

Practice

Try the problems below for practice:

6.1 Given

a) Find

b) Find

6.2   Let Find the equation of the tangent line at x = 2

6.3   Give the domain of the graph of
       ln must be of a number greater than 0

6.4   For , find

6.5   If , find y`

6.6   If , find

6.7   If , find

6.8   If find all relative maximums and minimums






        at x = 0

        at x = 1


       Since x = 1 yields a larger y than x = 0, we known x = 1 is the maximum and x = 0 is the minimum.
       The maximum =
       The minimum =

       For determining the relative max/min, this could also be done by finding the second derivative of y. Whichever yielded a negative double derivative would be the relative maximum and the positive double derivative yields the relative minimum.

6.9   If , find

6.10 For find the relative minimum point







       Can’t be ) as you can’t the natural log of a negative number




       The relative minimum is at . Check that the double derivative is positive at to prove it is a relative minimum and not maximum.