Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

How To Solve Limits With Power Functions Using Dividing Through By The Highest Power Of X?

lim x->∞ pow top = pow bottom coefficients In the given limit, we have a function in which the numerator and denominator both have some power functions....

John Rhodes
June 21, 2023
Calculus

How To Find The Limit Of A Polynomial Function As X Approaches Infinity: A Simplified Guide

lim x->∞ pow top > pow bottom ∞, -∞ In order to determine the limit of the function as x approaches infinity where the numerator is a...

John Rhodes
June 21, 2023
Calculus

Continuity In Mathematics: Exploring The Concept Of Consistency In Function Behavior

Continuity lim x->C = lim x->C+ = lim x->C- = f(c) Continuity is a mathematical concept that refers to the idea that a function maintains a consistent...

John Rhodes
June 21, 2023
Calculus

Discontinuity In Mathematics: Types And Importance In Calculus And Beyond

Discontinuity jump, hole/removable, ∞, oscillating Discontinuity is a term used in mathematics to describe a point at which the function is undefined or behaves differently than it...

John Rhodes
June 21, 2023
Calculus

The Intermediate Value Theorem (Ivt) In Calculus: Proof Of Existence Of Roots For Continuous Functions

Intermediate Value Theorem (IVT) If f(x) is continuous on the closed interval [a,b], then f(x) will take on every value between f(a) and f(b) The Intermediate Value...

John Rhodes
June 21, 2023
Calculus

Mastering The Essentials: Important Trig Identities For Simplifying And Solving Equations

Trig Identities There must be a max and min if the function is continuous on [a,b] Trig identities are equations that involve trigonometric functions and are true...

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: Dy/Dx And How To Find Derivatives Using The Power Rule And Other Techniques.

dy/dx F(x)~=~f(a) +f`(a)(x-a) The expression dy/dx is a notation that represents the derivative of y with respect to x. It represents the rate of change of y...

John Rhodes
June 21, 2023
Calculus

The Fundamental Importance Of The Intermediate Value Theorem In Calculus And Real-World Applications

Intermediate Value Theorem Used to estimate the derivative(F(x+h)-f(x))/h The Intermediate Value Theorem is a fundamental theorem in calculus that states that if a continuous function takes on...