John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

How To Solve A Limit With L’Hopital’S Rule: A Step-By-Step Guide.

lim theta->0 1 – cos(theta) / theta = ___________________ 0 To solve this limit, we can first notice that we have a 0/0 indeterminate form in the...

John Rhodes
June 21, 2023
Calculus

Mastering The Power Rule Of Differentiation: Simplifying Derivatives Of Functions With Constant Powers

Power Rule:d/dx [x^n] = ___________________ nx^n-1 The power rule of differentiation states that the derivative of a function f(x) that is of the form f(x) = xn...

John Rhodes
June 21, 2023
Calculus

Mathematical Foundations: Derivative Of A Constant Explained With Simple Examples

derivative of a constant:d/dx [c] = ___________________ 0 The derivative of a constant is always zero. That is, d/dx [c] = 0, where c is any constant....

John Rhodes
June 21, 2023
Calculus

The Sum And Difference Rules Of Differentiation In Calculus: Simplify Derivatives With Ease

Sums and Differences:1) d/dx [f(x) + g(x)] = ___________________2) d/dx [f(x) – g(x)] = ___________________ 1) f'(x) + g'(x)2) f'(x) – g'(x) 1) By the Sum Rule...

John Rhodes
June 21, 2023
Calculus

Differentiability: Definition, Implications, And Relationship With Continuity

Differentiability implies ___________________ continuity Differentiability implies the existence of the derivative of a function at a particular point. Another way of stating this is that a function...

John Rhodes
June 21, 2023
Algebra

Master The Distance Formula For Cartesian Points – Step-By-Step Guide

Distance Formula d = √[( x₂ – x₁)² + (y₂ – y₁)²] The distance formula is a mathematical formula used to find the distance between two points...

John Rhodes
June 21, 2023
Calculus

Master The Standard Form Of Circle Equation: Center, Radius, And Points

standard form of a circle (x-h)^2 + (y-k)^2 = r^2Center: (h,k)Radius: r The standard form of a circle with center at point (h, k) and radius r...

John Rhodes
June 21, 2023
Algebra

Relations In Mathematics: Reflexive, Symmetric, Transitive And Equivalence Relations

relation any set of ordered pairs In mathematics, a relation is a set of ordered pairs that describes the relationship between elements in two sets. A relation...