We started by looking at finding critical numbers from graphs. To get to a maximum, it is increasing to the left since it needs to go up to the max. To get to a minimum it is descending to the left. …

## Tutoring Calculus, dealing with constants

We mostly looked at the recent test from last week. It had problems with critical numbers. Numbers that lead to vertical asymptotes are also critical numbers. The second derivative was also used a …

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## How do we find the derivative of 1/(1+x) ?

I would recommend rewriting the expression first. Sometimes if you change how something looks, it becomes easier to work with. Now you can do the power rule and the chain rule. …

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## Tutoring Calculus, Series, Sequences, Improper Integrals and Limits

We focused on series and sequences and looked a bit at improper integrals. All of these are connected to limits. If something diverges, which is easier to determine than convergence, you simply say …

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## Reviewing Some Ideas From Calculus I and leading up to it

Tutored calculus for a couple of hours the other day, just before the student started Calculus II. Here are some things we went over. We talked about the purpose of a derivative and how you can …

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## Always take the chain rule for derivatives

Sometimes, if you take the derivative with respect to the variable in the expression (and there is only one variable), you can 'not' use it since, for example, dx/dx = 1. But in general, you use the …

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