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	266
Average score	80.0%
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Hint

Answer

What is the slope of f(x) = x^2+1 at x = 1?

On the interval of (-infinity,infinity), is the concavity of the graph of x^2 up or down?

An uncontinuous function has a jump disctontinuity. Which of the following limits can't be taken as x approaches? 3+, 3-, 3

Using L'Hopital's rule, find the limit as x approaches infinity of the function x^2/x^3.

What is the minimum coordinate of the function x^2+4x+5?

(-2,1)

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

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1 Comments

Level 54

Mar 27, 2024

Good quiz. I just didn't quite understand that "coordinate" meant both x and y.