John Rhodes, Math Teacher at Senioritis.io

John Rhodes
July 25, 2023
Calculus

Exploring the Derivative of sin(x) and Applying Chain Rule

d/dx(sinx) cosx To find the derivative of the function f(x) = sin(x), we can use the basic derivative rules. The derivative of sin(x) with respect to x...

John Rhodes
July 25, 2023
Calculus

Understanding the Basic Derivative: Calculus Fundamentals and Rules for Finding Derivatives

Basic Derivative f(x^n)= nX^(n-1) The basic derivative is a fundamental concept in calculus that measures the rate at which a quantity changes with respect to another quantity....

John Rhodes
July 25, 2023
Calculus

Understanding the Continuity Rule: Exploring the Mathematics of Function Continuity and Analysis

Continuity Rule If the limit exists (aka left limit and right limit are equal), and the limit equals the function at that point. The continuity rule is...

John Rhodes
July 25, 2023
Calculus

Solving the Limit of (1 – cos(x))/x as x approaches 0 using Trigonometric Manipulation

limit as x approaches 0: 1-cosx/x (1 – cos(x))/x is 2 To find the limit of the function f(x) = (1 – cos(x))/x as x approaches 0,...

John Rhodes
July 25, 2023
Calculus

Understanding the Limit as x Approaches 0 of sinx/x: Exploring Trigonometric Properties and the Squeeze Theorem

limit as x approaches 0: sinx/x sinx/x is equal to 1 To evaluate the limit as x approaches 0 of sinx/x, we can use an important trigonometric...

John Rhodes
July 25, 2023
Calculus

Understanding the Constant Function and Identity Function: Exploring Elementary Functions in Mathematics

The constant function and the identity function are two special types of ________ functions linear The constant function and the identity function are two special types of...

John Rhodes
July 25, 2023
Calculus

Understanding Linear Functions: Form, Slope, and Y-Intercept in Mathematics

linear function f(x) = ax + b A linear function, also known as a linear equation or a line, is a type of mathematical function that describes...

John Rhodes
July 25, 2023
Calculus

Understanding Cubic Functions: Exploring the Role and Applications of Third-Degree Polynomial Equations

cubic function f(x) = x^3 A cubic function is a type of polynomial function that has a degree of 3. The general form of a cubic function...