Brian McLogan
Find the extrema using the second derivative test
👉 Learn how to find the extrema of a function using the second derivative test. The second derivative test states that if a function has a critical point for which f'(x) = 0, and the second derivative is positive, then the function has a...
Brian McLogan
Learn how to find the critical values of a function
👉 Learn how to find the critical values of a function. The critical values of a function are the points where the graph turns. They are also called the turning points of a function. To obtain the critical points of a function, first, we...
Brian McLogan
Learn how to determine concavity and point of inflection AP style
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...
Brian McLogan
What is the definition of the inverse cosine function
👉 Learn how to evaluate inverse trigonometric functions. The inverse trigonometric functions are used to obtain theta, the angle which yielded the trigonometric function value. It is usually helpful to use the calculator to calculate the...
Brian McLogan
Graphing Cosecant with a Change in the Period
👉 Learn how to graph a cosecant function. To graph a cosecant function, we start with the sine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the...
Brian McLogan
How to graph the secant graph
👉 Learn the basics of graphing the secant and the cosecant graphs. Recall that the secant is the reciprocal of the cosine while the cosecant is the reciprocal of the sine. Also recall that the cosine graph is a sinusoidal graph with...
Brian McLogan
Given the derivative graph of f' find the relative min
Learn how to sketch the graphs of f, f', f'', given any one of its graph. Given a function y = f(x), the derivative of the function y' = f'(x) represents the change in the value of the function with respect to a change in x. f'(x)...
Brian McLogan
How does the amplitude affect your sine and cosine graphs
👉 Learn the basics to graphing sine and cosine functions. The sine graph is a sinusiodal graph with x-intercepts at x = 2n*pi, maximun value of 1 at x = pi/2 + 2n*pi and minimum value of -1 at x = -pi/2 + 2n*pi. The cosine graph is a...
Brian McLogan
Graphing Secant Function with a a New Amplitude
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Graphing Tangent with a Period Change
👉 Learn how to graph a tangent function. To graph a tangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the...
Brian McLogan
How to graph the tangent function
👉 Learn the basics of graphing a tangent and a cotangent function. To plot the tangent and the cotangent graph we choose a set of points and form a table of values with which we plot the points on the x-y coordinate axis to obtain the...
Brian McLogan
Graphing the Secant Function with a Horizontal Shift
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Graphing the Tangent Function with a Change in Period
👉 Learn how to graph a tangent function. To graph a tangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift (the...
Brian McLogan
Master Graphing Cosine with a change in the Period
Master Graphing Cosine with a change in the Period
Brian McLogan
Graphing Cotangent with a Phase Shift and Vertical Translation
👉 Learn how to graph a cotangent function. To graph a cotangent function, we first determine the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the parent function), the vertical shift...
Brian McLogan
Master Graphing the cosine function with a Vertical Translation
Master Graphing the cosine function with a Vertical Translation
Brian McLogan
How To Graph Sine while Forgetting to Reflect the Graph
👉 Learn how to graph a sine function. To graph a sine function, we first determine the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase shift (the horizontal shift from the...
Brian McLogan
Master Graphing Sine Graph with a Vertical Translation
Master Graphing Sine Graph with a Vertical Translation
Brian McLogan
Master Graphing the cosine function with a Phase Shift
Master Graphing the cosine function with a Phase Shift
Brian McLogan
Learn to find the range of the secant function
👉 Learn how to graph a secant function. To graph a secant function, we start with the cosine graph by first determining the amplitude (the maximum point on the graph), the period (the distance/time for a complete oscillation), the phase...
Brian McLogan
Master Graphing Sine given a change in Period
Master Graphing Sine given a change in Period
Brian McLogan
Master Graphing Sine with a Change in Amplitude
Master Graphing Sine with a Change in Amplitude
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Solving Rational Inequalities in One Variable
It introduces rational inequalities in one variable and explains how to solve them algebraically and plot the solution set graphically with solved examples.
Brian McLogan
What is concavity of a graph
👉 Learn how to determine the concavity of a function. A function is said to be concave up (convex) if the graph of the curve is facing upwards and the function is said to be concave down (concave) if the graph is facing down. To test for...