Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

How To Find And Analyze Critical Points In Calculus Functions

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

John Rhodes
June 21, 2023
Calculus

Local Maximum And Minimum In Math: Explained With Examples

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

John Rhodes
June 21, 2023
Calculus

The Significance Of Changing Derivatives: Finding Max/Min Values And Inflection Points In Functions

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

John Rhodes
June 21, 2023
Calculus

The Significance Of Positive Second Derivative In Calculus And Physics

f”(x) is negative f(x) is concave down & f'(x) is decreasing If the second derivative f”(x) is negative for a function f(x), it means that the rate...

John Rhodes
June 21, 2023
Calculus

The Significance Of A Negative Second Derivative For Concavity And Maxima Of Functions

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

John Rhodes
June 21, 2023
Calculus

How To Determine Maximum And Minimum Points From A Changing Second Derivative

inflection point switch from concave up to concave down or vice versa An inflection point on a curve is a point where the curvature changes sign. In...

John Rhodes
June 21, 2023
Calculus

Inflection Points In Mathematics: Definition, Significance, And Applications

f'(x)=0 & f”(x)

John Rhodes
June 21, 2023
Geometry

Critical Points: How To Identify Local Maxima Of A Function With Examples

Area of a triangle (b•h)/2 EX: (7•6)/2 = 21 The area of a triangle can be calculated using the formula A=1/2bh, where A is the area of...