Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Critical Points In Math: Explained With Examples

f'(x) changes from positive to negative f(x) has a relative maximum When f'(x) changes from positive to negative, it indicates that the slope or the rate of...

John Rhodes
June 21, 2023
Calculus

Relative Maximums And The Relationship To The Slope Of A Function: A Math Explanation

f'(x) changes from negative to positive f(x) has a relative minimum When f'(x) changes from negative to positive, it means that the derivative of the function is...

John Rhodes
June 21, 2023
Calculus

How F'(X) Influences Function Growth: Exploring Derivatives And Their Significance

f”(x) is positive f'(x) is increasing and f(x) is concave up U If the second derivative f”(x) of a function f(x) is positive, it means that the...

John Rhodes
June 21, 2023
Calculus

The Positive Second Derivative And Its Graphical Interpretation For U-Shaped Functions

f”(x) is negative f(x) is concave down & f'(x) is decreasing When we say that f”(x) is negative, we are indicating that the second derivative of the...

John Rhodes
June 21, 2023
Calculus

Concavity And The Second Derivative For Function F(X)

f”(x)=0 and changes sign f'(x) has extrema and f(x) has an inflection point If f”(x)=0 and changes sign, then it means that the second derivative of the...

John Rhodes
June 21, 2023
Calculus

The Relationship Between Second Derivative And Critical Points In Calculus.

inflection point switch from concave up to concave down or vice versa An inflection point is a point on the graph of a function where the concavity...

John Rhodes
June 21, 2023
Calculus

Inflection Points In Calculus: Analysis Of Function Behavior

f'(x)=0 & f”(x)

John Rhodes
June 21, 2023
Trigonometry

Maxima And Minima Of Functions: The Role Of First And Second Derivatives – Example Included.

An angle with a measure of less than 90 degrees is called an ______ angle. Acute angle. An angle with a measure of less than 90 degrees...