John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Proving the Limit of Sin(theta)/theta Approaches 0 Using L’Hopital’s Rule and Squeeze Theorem

lim theta->0 sin(theta) / theta = ___________________ 1 The limit as theta approaches 0 of sin(theta)/theta is equal to 1. To prove this, we can use L’Hopital’s...

John Rhodes
June 21, 2023
Calculus

Discovering the Limit of (1-cos(θ))/θ using L’Hospital’s Rule | Math Optimization

lim theta->0 1 – cos(theta) / theta = ___________________ 0 To find the limit of the given expression as theta approaches 0, we can use L’Hospital’s rule....

John Rhodes
June 21, 2023
Calculus

Master the Power Rule: How to Find Derivatives of Functions Using x Raised to a Power n

Power Rule:d/dx [x^n] = ___________________ nx^n-1 The power rule states that the derivative of a function expressed as x raised to a power n is given by:...

John Rhodes
June 21, 2023
Calculus

Understanding the Derivative of a Constant Value: Simple Explanation and Mathematical Representation

derivative of a constant:d/dx [c] = ___________________ 0 The derivative of a constant value (c) with respect to any variable (x) is always equal to zero. This...

John Rhodes
June 21, 2023
Calculus

Understanding the Sum and Difference Rules for Differentiation in Calculus

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) d/dx [f(x) + g(x)]...

John Rhodes
June 21, 2023
Calculus

Understanding Differentiability in Math: What it Means for Continuity and Derivatives

Differentiability implies ___________________ continuity Differentiability implies that a function is continuous and has a well-defined derivative at each point in its domain. In other words, if a...

John Rhodes
June 21, 2023
Linear Algebra

Mastering Linear Equations: A Fundamental Tool in Math, Physics, Economics and More

Linear Equation Definition in the variables x1,x2,xn is an equation that can be written in the form a1x1 + a2x2 + anxn = b A linear equation...

John Rhodes
June 21, 2023
Linear Algebra

Mastering System of Linear Equations: Solving with Substitution and Elimination Methods.

System of Linear Equations is a collection of 1 or more linear equations involving the same variables A system of linear equations is a set of two...