Derivative%20of%20Exponential%20Function%20and%20Logarithms

1
Derivative of Exponential Function and Logarithms

• I ?Logarithms, still ?

2
Now, when e is missing

• Instead of exponential function with base e
  (which is a number) we will look at exponential
  functions with bases other than e.
• As well, well also look at the logarithmic
  function when base ? e.
• How fun!

3
Onto the derivatives
Change of base rule
4
Another Derivative (easier)
5
Logarithmic Differentiation

• What do we do when both the base AND the powers
  have variables?
• Hmmm.. Lets see.
• Power rule? The exponential rule?
• Im so confused!!

Hint take the ln of both sides!! ?
6
Examples

• Find dy/dx for the following

7
Examples

• Find dy/dx for the following