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How do you calculate critical points of derivatives?
The "critical points" of a function are the points at which the derivative equals zero or the derivative is undefined. To find the critical points, you first find the derivative of the function. You then set that derivative equal to zero. Any values at which the derivative equals zero are "critical points". You then determine if the derivative is ever undefined at a point (for example, because the denominator of a fraction is equal to zero at that point). Any such points are also called "critical points". In essence, the critical points are the relative minima or maxima of a function (where the graph of the function reverses direction) and can be easily determined by visually examining the graph.
How many points can 2 lines have in common?
If the two lines are actually "on top of each other", they can have infinitely many points in common. If they are parallel, they have no points in common. If they are perpendicular, they have one point in common.
Do adjacent angles have common interior points?
Yes, adjacent angles do have common interior points.
What is points common to the 2 sides of an angle or the two sides of a polygon?
Point common to two sides of an angle = vertex. Points common to two sides of a polygon, if they exist, are all the points along an edge.
What is important to remember about critical points that are zeros of the denominator?
If the denominator is zero at some point, then the function is not defined at the corresponding points.
