Mathematics | Senioritis

John Rhodes
June 21, 2023
Algebra

The Importance Of Identifying And Controlling Independent Variables In Experiments: Cause-And-Effect Relationships

independent variable The variable in a function with a value that is subject to choice. An independent variable is a variable that is manipulated or changed by...

John Rhodes
June 21, 2023
Algebra

The Importance Of Identifying Dependent Variables In Scientific Research

dependent variable a variable (often denoted by y ) whose value depends on that of another. A dependent variable is a variable whose value depends on the...

John Rhodes
June 21, 2023
Algebra

How To Identify Functions With The Vertical Line Test In Mathematics

vertical line test A test to determine if a graph represents a function. If no vertical line intersects a graph more than once, then the graph is...

John Rhodes
June 21, 2023
Differential Equations

The Linearity Of Differentiation: Derivative Of The Sum Of Two Functions Explained

f'(x) + g'(x) derivative of the summation of two functions Assuming that f(x) and g(x) are differentiable functions, the sum of their derivatives f'(x) and g'(x) is...

John Rhodes
June 21, 2023
Differential Equations

Mastering Cf'(X) Notation: The Product Of Constant And Derivative In Calculus

cf'(x) derivative of a constant times a function The notation cf'(x) represents the product of a constant c and the derivative of a function f with respect...

John Rhodes
June 21, 2023
Differential Equations

Mastering The Product Rule Of Calculus: Simplifying The Derivative Of Two Functions With F(X) And G(X)

f(x)g'(x) + g(x)f'(x) derivative of the multiplaction of two functions The given expression is the product rule of two functions f(x) and g(x), where the derivative of...

John Rhodes
June 21, 2023
Differential Equations

F'(X) – G'(X): Evaluating The Difference Between Derivatives Of Two Functions

f'(x) – g'(x) derivative of the difference between two functions The expression f'(x) – g'(x) represents the difference between the derivative of f(x) and the derivative of...

John Rhodes
June 21, 2023
Differential Equations

How To Find The Derivative Of F(X)/G(X) Using The Quotient Rule Of Differentiation

d/dx [f(x)/g(x)] = quotient rule Using the quotient rule of differentiation, we can find the derivative of the function f(x)/g(x) with respect to x as follows: d/dx...