John Rhodes, Math Teacher at Senioritis.io

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...

John Rhodes
June 21, 2023
Calculus

Why Multiplying A Rational Number With An Irrational Number Always Results In An Irrational Number: A Simple Proof By Contradiction

product of rational number and irrational number is irrational an irrational number. When we multiply a rational number (a number that can be expressed in the form...

John Rhodes
June 21, 2023
Calculus

Proving The Irrationality Of The Sum And Product Of Two Irrational Numbers

sum or product of two irrational numbers is rational or irrational g enerally irrational. Proof: Let a and b be two irrational numbers. We assume that their...