Week+04

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Tuesday 9/7
Today we discovered the Intermediate Value Theorem. This theorem states as follows: If function //f// is **continuous** on the interval [//a,b//] then for any //f//(//c//) within [ //f//(//a//), //f//(//b//) ] there exists a value //c// within [//a,b//].

Here is the worksheet we did this day.

A tip for uploading pictures, turn contrast up, saturation down, and sharpness up in a photo editor for better text results.

**Wednesday 9/8**
(Tuesday's HW)

Friday 9/10
Today in class we went over ways to define F'(x) by two ways. one of which was new. 1) Lim x-->c; (F(x)-F(c))/(x-c) 2) Lim h-->0; F'(x)=(F(x+h)-F(x))/h

Also we discovered the power rule

__Power Rule__ When F(x)=AX^N then F'(X)=ANX^(X-1)