MAT 1235 Calculus II Section 6.4* General Log. and Exponential Functions

Homework and … WebAssign HW 6.4* (7 problems, 30 min.) Quiz 6.3*, 6.4* (Beginning of the class)

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The Difference…. Our construction allows us to find the derivatives of (and ). Compare to the elementary approach ( ), one cannot prove the derivative of.

Recall Under our construction, “functions” such as is undefined at this point. We would like to define functions such as so that it is defined for even irrational numbers

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So,…

It makes sense to define…

Law of Exponents

Derivatives and Antiderivatives

Example 1

Example 2

Example 3

Definition: Log. Function with Base a

Derivatives

Example 4

Maple Lab 01 Next Monday You are supposed to know Maple at the level of calculus I. Review tutorials. I will take points off from you if both you and your partner do not know how to use Maple. All “new” students should partner with someone who was in 1234 last quarter.

Maple and Equation Builder Tool 2 persons per lab report. All computations are done on Maple. All lab reports need to be typed. All Formulas are entered using “Equation Builder Tool” in Word (Window based PC). It is kind of similar to WebAssign.

Maple If you are new to Maple, you can learn the basics by doing the Maple tutorials. You can find them in my Web Pages. Maple is a very powerful tool. You will use it in other classes in your major.

Equation Builder Tool Follow the handout to practice typing formula.