Calculus
# Differentiability

Above shows the graph of \(f(x) = | x| \), what is the value of \(f'(0) \)?

If instead, you use two cups, one that you always use to fill the coffee machine with water, and a second that you always use to collect the coffee, you can limit the number of coffee cups you have to use in total to two.

**Question**: Which of the following functions describes your fractional savings in the total number of coffee cups you've had to use as a function of \(c\), the number of cups of coffee you've made?

**True or false?**:

"There exists a number that is exactly one more than its cube."

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