Math Talk
A function changes concavity at this value.
Derivative of e-2x
What is -2e-2x ?
A function achieves this when its derivative goes from positive to negative.
What is a relative maximum?
[Slide 1]
Who is y = 3 – x ?
[Slide 6]
What is the derivative of ex being itself?
This refers to the function inside an integral.
What is an integrand?
Integral of 1/x
What is ln|x| + C ?
The conclusion of the MVT is valid for this type of function only.
What is a differentiable function?
[Slide 2]
Who is y = –(x–2)2 + 4, or y = –x2 + 4x ?
[Slide 7]
What is the limit definition of the derivative?
This type of function has a limit that equals the y-value of the function at every point.
What is a continuous function?
Derivative of 3√x
What is 1/3 (x)-2/3 ?
L'Hôpital's Rule can be used to solve limits which yield this by substitution.
What is an indeterminate form (0/0 or ∞/∞) ?
[Slide 3]
Who is y = 4cos(x) ?
[Slide 8]
What are one-sided and two-sided limits?
This connects two points on a graph and represents the average rate of change on the interval between them.
What is a secant line?
Derivative of sec(x)
A right Riemann sum will give an underestimate with this type of function.
What is a decreasing function?
[Slide 4]
Who is y = ln(x+1) ?
[Slide 9]
What is Zeno's paradox?
This represents a function that satisfies a differential equation, given an initial condition.
What is a particular solution?
Integral of 1/(1 + x2) ?
What is tan-1(x) + C ?
If f(x) ≤ g(x) ≤ h(x), and f(x) and h(x) have the same limit, then this guarantees that g(x) will also have that limit.
What is the squeeze theorem?
[Slide 5]
Who is y = –|x + 2| + 2 ?
[Slide 10]
What is a Riemann sum vs. an integral?