What is the Limit of a Function? The notion of a limit is central to the discipline of calculus. Intuitively, limits are easy to understand; however, the formal definition of a limit requires a basic understanding of the sequences and functions of real numbers. Roughly speaking, a limit is...
Literally changing the point of view After students complete "course 3," in their sophomore or junior year, they take either honors precalculus or IB math studies. Excelling against the Cultural Tide Mathews claims that American students who have gone beyond precalculus are on a par with their...
Learn what a derivative of a function is, the notational definition of a derivative formula, what higher-order derivatives are, and see worked-out...
Differential calculus describes the methods by which, given a function, you can find its associated rate of change function, called the "derivative." The function must describe a constantly changing system, such as the temperature variation over the course of the day or the velocity of a planet...
Learn the definition of Derivative and browse a collection of 1000 enlightening community discussions around the topic.
Function Here is a handout with the “Twelve Basic Functions” from Pre-Calculus. Know these very well!!! Domain and Range The domains and ranges of many real-valued functions of a real variable are intervals or combinations of intervals. The intervals may be open, closed or half-open...
Use Figure 4 to find the cosine of the anglex. Figure 4. Right triangle ABC with angle labeled as x, adjacent side and hypothenuse measurements given x cosx=425≈0.89 0.89 Example 2 Precalculus: High School 26chapters |204lessons ...
Learn the definition of Squares and browse a collection of 400 enlightening community discussions around the topic.
Understanding the properties of a quadratic equation and how to recognize them when written out, it is natural to wonder what a quadratic equation looks like when graphed? That's a great question! To answer this, consider the simplest quadratic equation, the functiony=x2. Here is its graph:...
The length of the vector function, r(t), within the interval of [a,b] can be calculated using the formula shown below. r(t)=⟨x(t),y(t)⟩Arc Length=∫ab[x′(t)]2+[y′(t)]2]dtr(t)=⟨x(t),y(t),z(t)⟩Arc Length=∫ab[x′(t)]2+[y′(t)]2]+[z′(t)]2...