Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Understanding Slope of Secant Line and Instantaneous Rate of Change in Math

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

John Rhodes
June 21, 2023
Calculus

How to Find the Slope of a Tangent Line Using Calculus: A Step-By-Step Guide

Slope of tangent line at a point, value of derivative at a point Instantenous Rate of Change When we have a function f(x), the derivative at a...

John Rhodes
June 21, 2023
Calculus

Understanding the First Principle of Differentiation: Finding the Derivative of a Function

limit as h approaches 0 of [f(x+h)-f(x)]/h Formal definition of derivative The expression [f(x+h) – f(x)]/h represents the slope of the line passing through the points (x,...

John Rhodes
June 21, 2023
Calculus

The Definition of Derivative in Mathematics – Understanding Instantaneous Rates of Change and Tangent Lines

limit as x approaches a of [f(x)-f(a)]/(x-a) Alternate definition of derivative This is the formula for the definition of the derivative of a function f(x) at a...

John Rhodes
June 21, 2023
Calculus

Understanding and Addressing Decreasing Trends in Numerical Data: Strategies for Analysis and Improvement

decreasing When f ‘(x) is negative, f(x) is Decreasing refers to a trend or pattern where something is becoming less in quantity, size, or intensity over time....

John Rhodes
June 21, 2023
Calculus

Unlocking the Power of Relative Minima: A Comprehensive Guide to Identifying and Utilizing Local Minimum Points in Calculus Optimization Problems

relative minimum When f ‘(x) changes from negative to positive, f(x) has a In calculus, a relative minimum is a point on a graph where the function...

John Rhodes
June 21, 2023
Calculus

Maximizing Function Behavior: How to Find Relative Maxima on a Graph

relative maximum When f ‘(x) changes fro positive to negative, f(x) has a A relative maximum is a point on a graph where the function has the...

John Rhodes
June 21, 2023
Calculus

Mastering Concave Up Curves in Calculus for Optimization Problems

concave up When f ‘(x) is increasing, f(x) is When a curve is described as concave up, it means that the curve is curving in the direction...