Use the definition of a derivative to show that ddx3x ln33x
Use the definition of a derivative to show that d/dx(3x)= (ln3)*3^x by using your calculator\'s table function to examine lim h goes to 0. Make sure to make your table interval small enough to show that the limit converges to a specific value. show a few of the table entries.
Solution
Let us take y = 3^x taking ln both sides ln y = x ln3 differentiating (1/y) y\' = ln(3) solving we get y\' = (ln3) 3^x Hence Soled