Math Geeks #6: Basic Calculus

This quiz will cover the foundational concepts of Calculus, compute the problems without a calculator. Good luck!

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Last updated: February 5, 2024

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First submitted	February 5, 2024
Times taken	57
Average score	80.0%
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Hint	Answer
What is the slope of f(x) = x^2+1 at x = 1?	2
On the interval of (-infinity,infinity), is the concavity of the graph of x^2 up or down?	Up
An uncontinuous function has a jump disctontinuity. Which of the following limits can't be taken as x approaches? 3+, 3-, 3	3
Using L'Hopital's rule, find the limit as x approaches infinity of the function x^2/x^3.	0
What is the minimum coordinate of the function x^2+4x+5?	(-2,1)

Hint	Answer
Points of inflection are computed using which derivative, first or second?	Second
Concavity is computed using which derivative, first or second?	Second
Critical points are computed using which derivative, first or second?	First
Function increases and decreases are computed using which derivative, first or second?	First
What is the opposite of a derivative?	Integral