Notes 2.1 - Limits

Derivatives of Exponential and Logarithmic FunctionsNotes 3.9 I. Exponential FunctionsA.) Def. -

B.) Inverse Functions:

II. Properties of LogarithmsGiven r > 0 and s > 0, A.)

B.)C.)

D.)

E.)

III. y = ex

III. DerivativesA.)

B.)

C.)

D.)

A.) Complicated Form: Any form of equation with an xin both the base and the exponent.

In order to take the derivative of functions in complicated form, we must take the log of both sides and then differentiate with respect to x.

IV. Logarithmic Differentiation

B.) Find the derivative for each of the following using logarithmic differentiation.