Examples of Liquid Assets. Cash and savings accounts are the most common type of liquid asset owned by people and businesses alike, but other assets considered to be liquid, are those that are established on the market and can be transferred between owners easily. Examples of liquid assets include: Certifications of deposit.
The tangent will be undefined wherever its denominator (the cosine) is zero. Thinking back to when you learned about graphing rational functions, a zero in the denominator means you'll have a vertical asymptote. So the tangent will have vertical asymptotes wherever the cosine is zero: at âÏ/2, Ï/2, and 3Ï/2.
At, the first derivative is, and so is the slope of the tangent line. At, the derivative and the slope are both. At, the line is horizontal, demonstrating that the derivative at this point is. Since the tangent line there has a slope of, the point is a critical point of the function. A good way to find critical points on a graph, therefore, is to find points where a tangent line would have a slope of, or where a tangent line would be vertical (this corresponds to the derivative being undefined).