The most important theorem in Calculus consists of two statements. Both of these statements involve integrals, so in order to apply this theorem, the function that we're working with must be continuous. If that is true then we can use either statement, depending on our problem. ...
During the first marking period, what I learned in AP Calculus is how important it is to remember functions and certain formulas or standards such as slope, the Intermediate Value Theorem (IVT), Limits, Instantaneous rate, Intermediate form, Zeros, etc. Thanks to this, I’ve learned that sta...
The Mean Value Theorem refers to two conditions: 1) continuity in the closed interval [a,b] and 2) differentiability the open (a,b). On the other hand, the geometric interpretation of the Theorem establishes a point where the tangent line is parallel to the secant....
doing calculus on a vacuous set of functions seems self-defeating, a lot of work for nothing. let's take a broader view: one of the many uses of calculus, is in finding approximations to things that might be complex to calculate directly. and a description of a function's qualitative ...