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  • John Rhodes
  • June 21, 2023
  • Math Foundations

Discover the Prime Numbers up to 50: A Guide to Determining Prime Numbers through Division

Prime Numbers up to 50 1) Prime factoring tree2) Use all prime factors for 1st number3) Eliminate like factors for second number4) Multiply factors together The prime...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding the Properties of the Sine Function – Domain, Range, Symmetry, Intercepts, Period, Amplitude, and Extrema

f(x) = sin x f'(x) = cos x 1. What is the domain of f(x)? The domain of f(x) is all real numbers since we can take...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Exploring the Key Characteristics and Applications of the Cosine Function in Mathematics and Physics

f(x) = cos x f'(x) = -sin x Function f(x) = cos x is a trigonometric function which represents the cosine of x, where x is the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding the Tangent Function in Trigonometry: Definition, Properties, and Applications

f(x) = tan x f'(x) = sec^2 x Function notation f(x) = tan x represents the tangent function of x, where x is the input angle given...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Cotangent Function Explained: Evaluating Trigonometric ratio using Cosine and Sine Values

f(x) = cot x f'(x) = -csc^2 x The function f(x) = cot x is a trigonometric function defined as the ratio of the adjacent side to...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Exploring the Properties of the Secant Function in Trigonometry

f(x) = sec x f'(x) = sec x • tan x The function f(x) = sec x is an even function which means it has reflective symmetry...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding the Cosecant Function: Periodicity, Range, Symmetry, Asymptotes, and Zeros.

f(x) = csc x f'(x) = -csc x • cot x The function f(x) = csc x represents the cosecant function, which is the reciprocal of the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering the Art of Differentiating Exponential Functions: A Comprehensive Guide

Derivative of Exponential Functions f'(x) = e^x The derivative of an exponential function is a straightforward process when you understand the basic rules of differential calculus. These...
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