Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Non-Removable Discontinuities In Functions: Causes And Differences From Removable Discontinuities

What are non-removable discontinuities? jumps, asymptotes Non-removable discontinuities are points on a function where the function does not exist or is undefined due to a division by...

John Rhodes
June 21, 2023
Calculus

How To Apply The Intermediate Value Theorem In Calculus: Techniques And Applications

What is the intermediate value theorem? if f(x) is continuous on[a,b] and N is any number between f(a) and f(b), then there exists an x-value c in...

John Rhodes
June 21, 2023
Calculus

Mastering The Formula And Definition Of Derivatives In Calculus

What is the formula for the derivative at a point? f(a+h)-f(a)/h The formula for the derivative at a point is: f ‘(a) = lim(x -> a) [f(x)...

John Rhodes
June 21, 2023
Calculus

Master The Rate Of Change: The Derivative Formula For F(X) With Respect To X

What is the formula for the derivative as a function? f(x+h)-f(x)/h The formula for the derivative of a function f(x) with respect to x is given by:...

John Rhodes
June 21, 2023
Calculus

Discover The Limit Of Sin(Theta)/Theta As Theta Approaches Zero With A Trigonometric Identity

limit of theta goes to zero of sin(0)/0=? 1 The expression sin(0)/0 is undefined because division by zero is not allowed in mathematics. Therefore, it is not...

John Rhodes
June 21, 2023
Calculus

Mastering L’Hopital’S Rule: Computing The Limit Of Theta Approaching 0 Of (1-Cos(Theta))/Theta

Limit of theta –>0 of 1-cos(0)/0 = ? 0 To compute the limit of theta approaching 0 of (1-cos(theta))/theta, we can apply L’Hopital’s rule, which states that...

John Rhodes
June 21, 2023
Calculus

The Rationality Of Math: Exploring The Properties Of Rational Numbers

sum or product of two rational numbers is rational also a rational number. To see why this is true, let’s first define rational numbers. A rational number...

John Rhodes
June 21, 2023
Calculus

Proven: Sum Of Rational And Irrational Numbers Results In An Irrational Number

sum of rational number and irrational number is irrational The sum of a rational number and an irrational number is an irrational number. To prove this, let’s...