Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Evaluating Limits: Algebraic Manipulation And L’Hopital’S Rule For 1-Cosx/X.

limit as x approaches 0: 1-cosx/x 0 To evaluate the given limit, we can either use algebraic manipulation or L’Hopital’s rule. I will show both methods: Algebraic...

John Rhodes
June 21, 2023
Calculus

The Continuity Rule: Simplifying Limit Evaluations In Calculus

Continuity Rule If the limit exists (aka left limit and right limit are equal), and the limit equals the function at that point. The continuity rule pertains...

John Rhodes
June 21, 2023
Calculus

Mastering The Basics: 5 Rules For Finding Derivatives In Calculus

Basic Derivative f(x^n)= nX^(n-1) A derivative is a mathematical concept that represents the instantaneous rate of change of one variable with respect to another. In calculus, the...

John Rhodes
June 21, 2023
Calculus

Explaining The Derivative Of Sin(X) And Its Trigonometric Derivation.

d/dx(sinx) cosx The derivative of sin(x) with respect to x is cos(x). To understand why this is true, we can use the following derivation: Let’s start with...

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: Step-By-Step Guide To Using Chain Rule In Differentiating Tan(X)

d/dx(tanx) sec²x We will use the chain rule to differentiate the given function. Let y = tan(x) Using the derivative of tan(x), we know that y’ =...

John Rhodes
June 21, 2023
Geometry

Everything You Need To Know About Scales: From Physics To Everyday Use

scale It gives the relationship between the drawing/model measure and the actual measure. It is the ratio of the distance on the drawing to the actual distance...

John Rhodes
June 21, 2023
Geometry

Mastering Scale Drawings: A Step-By-Step Guide For Accurate Representations In Architecture, Engineering, And Design

Scale drawing It represents something that is to large or too small to be drawn or built at actual size. A scale drawing is a two-dimensional representation...

John Rhodes
June 21, 2023
Geometry

Scale Factor In Similar Geometric Figures: Definition And Examples

Scale factor It is the ratio of side lengths in an enlargement to those of the original figure. The scale factor is a constant that relates the...

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