## Test 2 and Midterm Grades

Test 2 grades and midterm grades are now available in Blackboardâ€™s gradebook. Your midterm grade was calculated using the formula: test 1 and test 2: 40% each; quizzes and WebWork: 10% each. The midterm gradeÂ grade is for your information only. It wonâ€™t be submitted anywhere, but it should give you a reasonable idea of how youâ€™re doing in the class.

The deadline to withdraw from the class is this Thursday, November 6.

## Test #2 Solutions

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## Test #2 – Wednesday, October 29

Next week’s test will cover everything you’ve learned about derivatives so far (including the limit definition, which was also on the last test). The relevant sections of the text are 3.1-3.9.

We’ll finish off 3.8 in class on Wednesday and begin sections 3.4 and 3.5. After the test I’ll be following the syllabus in order, for the most part.

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## Quiz #5 – Wednesday, October 22

This week’s quiz will cover material/problems from sections 3.3, 3.6, and 3.7.

Due Tuesday, October 21:

Derivatives-Trigonometric & Derivatives-ChainRule

Due Sunday, October 26:

Derivatives-Exponential-Logs & Derivatives-InverseTrig

Due Tuesday, October 28:

RatesofChange-HigerDeriv

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## Test #1 Solutions

Here are my own solutions for test #1. There may be more than one way of completing a certain problem, so it’s possible to receive credit for solutions that are different from mine.

MAT1475Test1Solutions

## Quiz #4 â€“ Wednesday, October 15

The next quiz will cover differentiation rules as in sections 3.2 and 3.3 of your text.

## Derivative of sin(x) link & WebWork

Here’s the link to the Desmos graph we used to convince ourselvesÂ the derivative of $\sin(x)$ is $\cos(x)$ in class today.

Also, your next WebWork set isÂ due next ThursdayÂ night, October 15. (Usually WebWork is not due on Thursdays, but next week there’s no class on Monday, hence this change.)

This WebWork set–Derivatives-ProductQuotient–contains one problem that you won’t officially know how to complete yet. For now, you can skip #6. In class on Wednesday, we’ll see what the derivative of $e^x$ is. Some of the later questions on the set involve using a combination of the product rule and the quotient rule. They can be a little tricky at first, so try them as soon as you can. We can go over any problems in class or in office hours on Wednesday.

I haven’t updated the due date for the set Derivatives-Trigonometric yet, because there are still a few techniques you need for some of the problems that you haven’t officially seen yet. But after today’s class, you can probably solve about half of the problems on this set. It’s a good idea to take a look at those problems now. (It should be clear which ones they are.)

## Derivative as a function – link from today’s class

Here’s the link I promised from today’s class: derivative as a function.

The red curve is the graph of the original function $f(x)$. The orange curve is the graph of the derivative $f'(x)$ of the original function $f(x)$.

You can drag the red point around on theÂ graph of $f(x)$. The black dotted line is the tangent line to the graph $y=f(x)$ at the red point. The corresponding orange point has the same $x$-coordinate as the red point. The $y$-coordinate of the orange point is the slope of the black tangent line at the red point. You can see, as you drag the red point around on the graph of the function $f(x)$, the orange point gets dragged around on the graph of the derivative $f'(x)$.