Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering The Square Root Function: Applications And Properties Explained

Square Root Function f(x) = √x The square root function is a mathematical function that takes a non-negative real number as input and returns its non-negative square...

John Rhodes
June 21, 2023
Calculus

The Cube Root Function: Properties, Graphs, And Real-World Applications

Cube Root Function f(x) = 3√x The cube root function is a mathematical function that returns the cube root of a given number. It is denoted as...

John Rhodes
June 21, 2023
Calculus

The Reciprocal Function In Mathematics: Definition, Properties, And Applications.

Reciprocal Function f(x) = 1/x A reciprocal function is a type of function in mathematics that can be defined as a function that takes any non-zero number...

John Rhodes
June 21, 2023
Calculus

Mastering Trigonometric Identities: How To Rewrite Sec^2(X) Using Other Trigonometric Functions

sec^2(x) can also be written as (secx)^2 Sec^2(x) can also be written using other trigonometric functions as follows: 1. In terms of cosine: sec^2(x) = 1/cos^2(x) 2....

John Rhodes
June 21, 2023
Calculus

The Sign, Slope, And Maxima/Minima Of A Function Through The Graph Of Its Derivative

the graph of f'(x) crosses the x-axis at x=2 from above the x-axis to below the x-axis x=2 is a relative maximum of f(x) If the graph...

John Rhodes
June 21, 2023
Calculus

Critical Points – Local Minimum At X=2 In Math Functions.

the graph of f'(x) touches the x-axis at x=2 but remains above the x-axis on both sides x=2 is a critical point, but not a relative max...

John Rhodes
June 21, 2023
Calculus

Maximizing The Rate Of Change Of A Function: Critical Points And Inflection Points

the graph of f'(x) is differentiable and has a relative maximum at x=2 f(x) has a point of inflection at x=2 When f'(x) has a relative maximum...

John Rhodes
June 21, 2023
Calculus

Concavity And Points Of Inflection Through Second Derivatives In Mathematics

the graph of f”(x) touches the x-axis at x=2 x=2 is a possible point of inflection of f(x) The second derivative of a function, f”(x), tells us...