John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: Using Power Rule, Product Rule, Quotient Rule, And Chain Rule For Math Equations.

Find derivative of f(x), plug in point to find slope. Slope of normal line is opposite reciprocal of this. Plug into y – y1 = m(x –...

John Rhodes
June 21, 2023
Calculus

Derivatives And Critical Points: A Guide To Finding The Maximum And Minimum Of A Function.

Find derivative. Find critical points.When f ‘(x) is positive – increasing, negative – decreasing Find the interval where f(x) is increasing/decreasing given an equation. To find the...

John Rhodes
June 21, 2023
Calculus

Positive And Negative Relationships In Graphs: A Guide To Variable Interactions

When graph is above x-axis – increasing, below x-axis – decreasing Find the interval where f(x) is increasing/decreasing given a graph of f ‘ (x). A graph...

John Rhodes
June 21, 2023
Calculus

Mastering The First Derivative Test For Maximum And Minimum Points In Calculus Functions

When f(x) changes from increasing to decreasing – maximum, decreasing to increasing – minimum. Also check endpoints if they are included. Find the relative minimum/maximum value of...

John Rhodes
June 21, 2023
Calculus

Graph Axes: How To Identify Positive And Negative Roots Of Math Functions

When the graph crosses the x-axis (positive to negative, negative to positive) Find the maximum/minimum values of f(x) given a graph of f ‘(x). When a graph...

John Rhodes
June 21, 2023
Calculus

Learn How To Calculate The Second Derivative Of A Function And Determine Its Concavity With Critical Values

Find second derivativeFind critical valuesPositive – concave up, negative – concave down Find where a function is concave down/up given an equation of f(x). To find the...

John Rhodes
June 21, 2023
Calculus

Graph Concavity And Slope: How Derivatives Aid Analysis

Based on slope of graph. Increasing – concave up, decreasing – concave down Find where a function is concave down/up given a graph of f ‘(x). The...

John Rhodes
June 21, 2023
Calculus

Mastering The Integral Of A Function: Calculating Area Under A Curve And Solving Problems

The position is the integral of velocity a function. In calculus, the integral of a function is a mathematical operation that is used to calculate the area...