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Basic Calculus Concepts

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Quiz by KyleBell57
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Last updated: August 21, 2016
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First submittedAugust 21, 2016
Times taken731
Average score36.8%
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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
joez
+1
Level 73
Aug 21, 2016
Integral, not intergral.
KyleBell57
+1
Level 18
Aug 21, 2016
Sorry, i'll fix that!
cpgatbyu
+1
Level 85
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.

JSSTyger
+5
Level 53
Jun 27, 2021
How come we can't get decent math quizzes on jetpunk where the questions are CLEAR about what they want?
Hextor26
+1
Level 36
Dec 12, 2021
Could you please also accept "indeterminate" for the first question?
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