Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

How To Determine If A Function Is Decreasing: A Guide To Calculus.

f(x) is decreasing when f’ < 0 In calculus, a function f(x) is decreasing if its values are decreasing as x increases. This means that if we...

John Rhodes
June 21, 2023
Calculus

Critical Points In Calculus: Identifying Local Extremes And Inflection Points

f(x) has a critical point when f’ = 0, f’ is undefined A critical point of a function f(x) is a point x=c where the derivative of...

John Rhodes
June 21, 2023
Calculus

Mastering Concavity Of Functions: Analyzing Derivatives For Peak Performance

f(x) is concave up when f’ is ____ or f” is ____ increasing, f” > 0 To determine the concavity of a function, we need to analyze...

John Rhodes
June 21, 2023
Calculus

Mastering Concave Down Functions: Using The Second Derivative And Slope Of The First Derivative To Evaluate F(X)

f(x) is concave down when f’ is ____ or f” is ____ decreasing, f” < 0 To determine whether f(x) is concave down, we can look at...

John Rhodes
June 21, 2023
Calculus

Discovering Inflection Points In Math: The Significance Of F”(C) Changes

f(x) has an inflection point at (c, f(c)) when the concavity changes at f”(c) = 0 or f”(c) is undefined f”(c) changes sign at point c. In...

John Rhodes
June 21, 2023
Calculus

How To Determine Relative Extrema Using The First Derivative Test In Calculus

By the 1st derivative test, a point is a relative minimum when f’ changes from negative to positive the derivative changes from negative to positive at that...

John Rhodes
June 21, 2023
Calculus

Maximize Your Math Insights: The First Derivative Test

By the 1st derivative test, a point is a relative maximum when f’ changes from positive to negative The first derivative test is used to determine the...

John Rhodes
June 21, 2023
Calculus

Master The Second Derivative Test To Identify Local Minima And Maxima In Functions

By the 2nd derivative test, a point is a relative maximum at x = c if f'(c) = 0 and f” < 0 the second derivative of...