First Derivative | MATHalino reviewer about First Derivative

Problem
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.