Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering The Linear Parent Equation: A Fundamental Guide For Graphing And Analyzing Linear Functions

Linear Parent Equation y = x The linear parent equation is the equation of a straight line in the Cartesian coordinate plane with a slope of 1...

John Rhodes
June 21, 2023
Calculus

Mastering Linear Graph Creation: Techniques, Equations, And Applications

Linear Graph y=x^2 A linear graph is a graph that shows a relationship between two variables that is linear or straight. In other words, it is a...

John Rhodes
June 21, 2023
Calculus

Mastering Quadratic Equations: The Basics And Different Forms

Quadratic Parent Equation y=x^3 The quadratic parent equation is y = x². This is the simplest quadratic equation that describes a parabola which opens upwards. The graph...

John Rhodes
June 21, 2023
Calculus

How To Graph A Quadratic Function: Quadratic Graphs And Parabolas.

Quadratic Graph y=x^4, y=x^5, y=x^6, etc. A quadratic graph is a type of graph that represents a quadratic function. A quadratic function is a type of polynomial...

John Rhodes
June 21, 2023
Calculus

The Cubic Parent Equation: Properties, Applications, And Root Calculation Methods – A Comprehensive Guide.

Cubic Parent Equation y=√x The cubic parent equation is a type of polynomial equation of degree three, which is represented by the general form ax^3 + bx^2...

John Rhodes
June 21, 2023
Calculus

Mastering The Power Rule Of Differentiation: Derivative Of X With Respect To X Explained

d/dx (x) 1 The derivative of x with respect to x is 1. This can be seen using the power rule of differentiation, where the derivative of...

John Rhodes
June 21, 2023
Calculus

Mastering The Power Rule Of Differentiation: Derivative Of X^N With Respect To X Explained

d/dx (x^n) nx^n-1 The derivative of x^n with respect to x is n*x^(n-1). Proof: Let y = x^n, where n is a constant. Then, taking the derivative...

John Rhodes
June 21, 2023
Calculus

Proving The Derivative Of Sin(X) With Respect To X Is Cos(X) Using Trigonometric Identities And Limit Definition Of Derivative.

d/dx sinx cosx The derivative of sin(x) with respect to x is cos(x). Mathematically, we write: d/dx sin(x) = cos(x) The proof of this can be done...