MAT 1234 Calculus I Section 2.1 Part II Derivatives and Rates of Change.

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Presentation transcript:

MAT 1234 Calculus I Section 2.1 Part II Derivatives and Rates of Change

HW WebAssign HW 2.1 II Be sure to read the instructions carefully. Turn in the written HW at the end of your handout.

What do we care? How fast “things” are going The velocity of a particle The “speed” of formation of chemicals The rate of change of charges in a capacitor

Recall

So…in a chemical reaction

Definition (rephrase)

Definition (New Notation)

Example 1 Compare the values of

Example 1 Compare the slopes of the tangent lines at

Example 2

Example 2(a) What is the meaning of ?

Example 2(b) What is the meaning of

Example 2(c) How to determine the units (mg/hour)?

Example 3 (a) Find if (b) Find

Example 3 (a) Find if

Example 3 (a) Find if (b) Find

Remarks

Classwork Hint #2 Do NOT expand the denominator

Quiz Please take a look at the grader’s comments Some of you did really well Some of you have a lot of room to improve !!!! Explaining your work clearly and carefully is VERY important It is not too late to get help