Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

The Significance And Variations Of Cusps In Natural And Man-Made Objects

What does a cusp look like? When a function becomes vertical and then virtually doubles back on itself. Such pattern signals the presence of what is known...

John Rhodes
June 21, 2023
Calculus

Vertical Tangents In Calculus: Definition, Examples, And Visualizations.

What does a Vertical Tangent look like? vertical tangent image A vertical tangent is a point on a curve where the slope of the curve (i.e., the...

John Rhodes
June 21, 2023
Calculus

Mastering The Difference Rule: How To Use The Subtracting Rule For Quick And Easy Derivatives.

Difference Rule Function – f – gDerivative – f’ − g’ The difference rule or subtracting rule is a differentiation technique used to find the derivative of...

John Rhodes
June 21, 2023
Calculus

Discover The Power Of The Reciprocal Rule: Calculus Derivatives Made Easy

Reciprocal Rule Function 1/fDerivative −f’/f2 The reciprocal rule in calculus refers to the relationship between the derivative of a function and the reciprocal of the function. This...

John Rhodes
June 21, 2023
Calculus

Mastering The Chain Rule In Calculus: A Step-By-Step Guide To Derivatives Of Composite Functions

Chain Rule (Using ‘ ) Function f(g(x))Derivative f'(g(x))g'(x) In calculus, the chain rule is a method of finding the derivative of a function composed of two or...

John Rhodes
June 21, 2023
Calculus

Mastering The Intermediate Value Theorem In Calculus: A Powerful Tool For Real-World Problem Solving

Intermediate Value Theorem If f(1)4 and f(6)=9, then there must be a x-value between 1 and 6 where f crosses the x-axis. The Intermediate Value Theorem is...

John Rhodes
June 21, 2023
Calculus

Calculus: Calculating Average Rate Of Change In Functions

Average Rate of Change Slope of secant line between two points, use to estimate instantanous rate of change at a point. The average rate of change is...

John Rhodes
June 21, 2023
Calculus

The Importance Of The Instantaneous Rate Of Change (Irc) In Calculus And Its Applications In Real-World Phenomena

Instantenous Rate of Change Slope of tangent line at a point, value of derivative at a point The instantaneous rate of change (IRC) at a specific point...