John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Geometry

Perpendicularity In Mathematics: Definition, Symbolism, And Real-Life Applications

perpendicular lines, segments, or rays that intersect at 90 degree angles Perpendicular refers to the relationship between two lines, where they meet at a right angle or...

John Rhodes
June 21, 2023
Geometry

Discover The Importance Of Midpoint And How To Find It Using The Midpoint Formula In Geometry.

midpoint the point in the middle of a segment Midpoint refers to the point that lies exactly halfway between two other points. In geometry, this concept is...

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...

John Rhodes
June 21, 2023
Calculus

The Significance Of Second Derivative And Curvature In Analyzing Mathematical Functions

the graph of f”(x) is below the x-axis at x=2 f(x) is concave down when x=2 The given information tells us that the second derivative of the...