John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Solving The Integral Of Cot²(X) Using Trigonometric Identities.

∫cot²(x)dx -cot(x)-x +C Let’s use the trigonometric identity: cot²(x) = 1 + tan²(x) So, we can rewrite the integral as: ∫cot²(x)dx = ∫(1 + tan²(x))dx Integrating both...

John Rhodes
June 21, 2023
Calculus

Mastering The Limit Definition Of Derivatives: A Guide To Calculating Instantaneous Rate Of Change In Calculus

Limit Definition of Derivative limit (as h approaches 0)= F(x+h)-F(x)/h The limit definition of derivative is a mathematical formula used to calculate the instantaneous rate of change...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: The Alternate Definition Of Derivative.

Alternate Definition of Derivative limit (as x approaches a number c)=f(x)-f(c)/x-c x≠c In calculus, the derivative of a function is defined as the rate at which the...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: Solving The Fundamental Limit Of Sinx/X As X Approaches 0.

limit as x approaches 0: sinx/x 1 The limit as x approaches 0: sinx/x is one of the fundamental limits in calculus. Let’s see how to solve...

John Rhodes
June 21, 2023
Calculus

Mastering Limits In Calculus: Evaluating (1 – Cos(X))/X As X Approaches 0

limit as x approaches 0: 1-cosx/x 0 To evaluate the limit as x approaches 0 of (1 – cos(x))/x, we can try to directly substitute 0 for...

John Rhodes
June 21, 2023
Calculus

And Applying The Continuity Rule In Calculus Functions.

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
June 21, 2023
Calculus

Master The Basics: A Guide To Calculus Derivative Rules For Effective Function Differentiation

Basic Derivative f(x^n)= nX^(n-1) A derivative is a mathematical concept that describes the rate at which a function is changing at a given point on its graph....

John Rhodes
June 21, 2023
Calculus

Master The Derivative Of Sin(X) Using Simple Formula | Learn Math With Ease

d/dx(sinx) cosx To take the derivative of sin(x) with respect to x, we can use the following formula: d/dx(sin(ax)) = a * cos(ax) In this case, a...