# Basic Calculus Concepts

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Quiz by KyleBell57
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Last updated: August 21, 2016
 First submitted August 21, 2016 Times taken 516 Average score 36.8% Report this quiz Report
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 Description Answer "0/0" Indeterminate Form Δy / Δx Secant Slope Finding the area under the curve of an expression Integral Describes the (tangent) slope of the original graph Derivative Describes a value that the graph either converges or diverges to. Limit If a function is continuous on a closed interval [a,b], and "k" is any number between f(a) and f(b), there is at least one number "c" in [a,b] such that f(c) = k Intermediate Value Theorem If you have a function f, and two numbers "a" and "b" produce the same numerical output "k", then there has to be at least one relative minimum or maximum between "a" and "b" Mean Value Theorem
 Description Answer Limit (as x approaches 0) of [Sin(x)] / (x) 1 Limit (as x approaches 0) of [1-Cos(x)] / (x) 0 Graph Differentiability (|x|) Corner Graph Differentiability (x^1/3) Vertical Tangent Graph Differentiability (x^2/3) Cusp Graph Discontinuity where the limit exists but the function does not exist. Removable
 Description Answer Graph Discontinuity where the function exists but the limit does not exist. Jump Graph Discontinuity where neither the function or the limit exist. Infinite Derivative of Sine Cosine Derivative of the Answer Above Negative Sine Derivative of the Answer Above Negative Cosine Derivative of the Answer Above Sine
+1
Level 71
Aug 21, 2016
Integral, not intergral.
+1
Level 20
Aug 21, 2016
Sorry, i'll fix that!
+1
Level 83
Aug 21, 2016
delta y / delta x is also commonly called a difference quotient.

The function that is 0 at 0 but sin(x) at every other x is an example where the function exists and the limit doesn't, but we wouldn't typically call that a jump discontinuity. In fact, a jump discontinuity typically requires the left-hand and right-hand limits to exist.

+3
Level 52
Jun 27, 2021
How come we can't get decent math quizzes on jetpunk where the questions are CLEAR about what they want?
+1
Level 35
Dec 12, 2021
Could you please also accept "indeterminate" for the first question?
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