MATHalinoEngineering Math ReviewProblem
If the first derivative of the equation of a curve is a constant, the curve is:
| A. circle | C. hyperbola |
| B. straight line | D. parabola |
Problem
Determine the radius of curvature of the curve $x = y^3$ at point (1, 1).
| A. 5.27 | C. 5.56 |
| B. 5.65 | D. 5.72 |
Problem
Which of the following is the derivative with respect to x of $(x + 1)^3 - x^3$?
| A. 6x + 3 | C. 1 + 2x - 3x2 |
| B. 3x2 + 2x + 1 | D. 6x - 3 |
Problem
Find y’ if x = 2 arccos 2t and y = 4 arcsin 2t.
| A. 2 | C. 4 |
| B. -2 | D. -4 |
Graph of the Function y = f(x)
The graph of a function y = f(x) may be plotted using Differential Calculus. Consider the graph shown below.
As x increases, the curve rises if the slope is positive, as of arc AB; it falls if the slope is negative, as of arc BC.