Mathematics | Senioritis

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...

John Rhodes
June 21, 2023
Linear Algebra

Mastering the Basics: Understanding Solution Sets in Math Equations and Inequalities

Solution Set The set of all solutions to a system A solution set is the set of values that satisfy a given equation or inequality. In the...

John Rhodes
June 21, 2023
Linear Algebra

Mastering the Concept of Equivalence in Mathematics: Simplify and Solve Complex Equations like a Pro

Equivalent Two systems are this if they have the same solution set In mathematics, equivalent means two expressions or equations have the same value or meaning. That...

John Rhodes
June 21, 2023
Linear Algebra

Understanding Consistent and Inconsistent Math Systems of Equations.

Consistent System A system is this if it has at least one solution A consistent system is a set of equations in which each equation has a...