Calculus | Senioritis

John Rhodes
July 8, 2023
Calculus

A Comprehensive Guide: Finding the Derivative of a Composite Function using the Chain Rule

d/dx f(g(x)) To find the derivative of the composite function f(g(x)) with respect to x, we can use the chain rule To find the derivative of the...

John Rhodes
July 8, 2023
Calculus

The Product Rule for Finding Derivatives: Step-by-Step Explanation and Mathematical Notation

d/dx [uv] To find the derivative of the product of two functions, u and v, denoted by uv, we can use the product rule To find the...

John Rhodes
July 8, 2023
Calculus

Understanding Continuity in Mathematics: Definition and Conditions

definition of continuity: f is continuous at c iff Definition of continuity: A function f is said to be continuous at a point c in its domain...

John Rhodes
July 8, 2023
Calculus

Understanding the Derivative of a Function: The Mathematics Behind Rate of Change

alternate version of def. of derivative The derivative of a function represents the rate at which the function is changing at a specific point The derivative of...

John Rhodes
July 8, 2023
Calculus

Calculating the Derivative Using the Formal Definition: Understanding the Rate of Change and Tangent Line Slope

formal version of def. of derivative The formal definition of the derivative of a function at a particular point can be expressed as follows: Let f(x) be...

John Rhodes
July 8, 2023
Calculus

How to Find the Vertical Asymptote of a Function: Methods and Examples Explained

find vertical asymptote To find the vertical asymptote of a function, we need to determine the values of x for which the function approaches positive or negative...

John Rhodes
July 8, 2023
Calculus

Understanding Horizontal Asymptotes in Math: An Insight into Rational Functions and Behavior Towards Infinity

Horizontal asymptotes Horizontal asymptotes are horizontal lines that a function approaches as the input values (x-values) of the function get very large or very small Horizontal asymptotes...

John Rhodes
July 8, 2023
Calculus

Mastering the Art of Finding the Limit of a Function as x Approaches Infinity: A Step-by-Step Guide

limit for f(x) as approaches infinity no calculator To find the limit of a function as it approaches infinity without using a calculator, you can apply some...