Derivatives
The derivative of 2x2 +3x.
What is 4x + 3?
The integral of f'(x) finds this on the f(x) graph.
What is the area under the curve?
The limit of x2 as x approaches 10 is this number.
What is 100?
In order for the MVT to work, these two things must be true.
What is differentiable and continuous?
The powerhouse of the cell
What is the Mitochondria?
The derivative of ex
What is ex?
+C is a simplification for the real name of what C represents, which is this.
If the limit does not yet exist, and the bottom and top of a fraction is either zero or infinity, you can use this rule to find the limit.
What is L'Hospital's rule?
This theorem determines that so long as f(x) is differentiable and continuous in [a,b], then f(x) has an absolute maximum and minimum.
What is the Extreme Value Theorem?
sin(gerine) over cos(gerine) =
What is tan(gerine)?
Derivative of sin(x).
What is cos(x)?
Find the integral of 2x
What is x2+C?
A discontinuity that makes f(x) look like a triangle is called this
What is a cusp/corner discontinuity?
True or False: The IVT used on the graph of f(x) determines that there is a value C on the graph of f'(x), so long as the graph is differentiable and continuous.
What is False?
This song by the Bee Gees was made famous by it's role in the classic 70s film "Saturday Night Fever"
What is "Stayin' Alive"?
This rule is defined by the phrase "lowdeehigh minus highdeelow all over low squared".
What is the quotient rule?
A trapezoidal Riemann sum's equation is shown as this
What is (h)(b1+b2)/2?
The absolute maximum can also be referred to as this name.
What is a global maximum?
When using the MVT to find the average rate of change on the interval [a,b], you must use this formula
What is f(b)-f(a) / (b-a)
The 28th President of the United States.
Who is Woodrow Wilson?
The derivative of inverse sin(x)
What is 1/√(1-x2)?
The integral of axdx is shown as this
What is (ax/ln(a))+C?
A hole on f(x) is _____ yet not _____.
What is differentiable, continuous?
What is f'(x) on the domain of [4,x] when f(x) is the integral of cos(t)dt
what is cos(x)?
This town from a classic 80s movie was shown in multiple time periods, including that of an 1800s western town, a 1950s town square, a basic 1980s suburbia, and both a futuristic utopia and dystopia.