Derivative Rules
Low "D" high minus high "D" low, square the bottom and you're good to go!
What is the quotient rule?
If a function is continuous on a closed interval, it must have an absolute minimum and maximum value. This theorem is...
What kind of function is defined by paths in a 2D plane using a single parameter (t).
What is Vector-Valued Functions?
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What is UCONN?
Zero is the derivative of...
What is any constant?
By the Mean Value Theorem (MVT), if a function is continuous and differentiable on a closed interval, there must exist a point where it's (BLANK) equals it's (BLANK)
What is the INSTANTANEOUS RATE OF CHANGE and AVERAGE RATE OF CHANGE?
This section of unit 10 BC covers convergence and divergence ideas such as alternating series and p-series.
What is Sequences and Series?
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What is Ben?
This function and it's derivative are the same
What is Ex?
This theorem states that the integral of a function can be found using its antiderivative and that differentiation reverses integration
What is the Fundamental Theorem of Calculus? (FTC)
This is what an integral is called when its limit of integration is infinite
What is an improper integral?
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What is the Pathways Academy of Technology and Design?
In the inverse function rule, the derivative of (F-1)'(x) is...
What is 1/f'(f-1(x))?
This theorem states that if a function is continuous on [a,b], it will hit every single y-value between f(a) and f(b) at least once.
What is the Intermediate Value Theorem (IVT)?
The coordinates used in Polar functions
What is (r, θ)?
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What is the Simsbury Inn?
This rule states that a constant can be pulled out of a derivative since it doesn’t affect the rate of change.
What is the constant multiple rule?
What is if a function f(x) meets the following three conditions:
- f(x) is continuous on the closed interval [a, b],
- f(x) is differentiable on the open interval (a, b), and
Then, f(a) = f(b)
The names of the series explored in Calc BC
What are Taylor and Maclaurin series?
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What is a knife block set?