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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering The Basics Of Calculus: Dy/Dx And Its Applications In Math, Physics And Engineering

dy/dx F(x)~=~f(a) +f`(a)(x-a) dy/dx is a mathematical notation used to represent the derivative of the function y with respect to x. It is also known as the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering The Intermediate Value Theorem: The Fundamental Principle Of Continuous Functions On Closed Intervals

Intermediate Value Theorem Used to estimate the derivative(F(x+h)-f(x))/h The Intermediate Value Theorem is a theorem in calculus that states that if a function is continuous on a...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Optimizing Your Functions: The Importance Of The Extreme Value Theorem.

Extreme Value Theorem To find inflection points1. Find the second derivative2. Set the second derivative equal to zero3. Solve for xOptional4. Plug in and solve for f(x)...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Linear Approximation: A Fast And Accurate Way To Estimate Math Functions

Linear Approximation If f`is positive, then f(x) is increasingIf f` is negative, then f(x) is decreasing Linear approximation is a method used to estimate the value of...
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  • John Rhodes
  • June 21, 2023
  • Arithmetic

Step-By-Step Guide: Solving Equations For X By Isolating Variables

2 (x + 2) = 2 x = -1 To solve this equation for x, we need to isolate x on one side of the equation. First,...
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  • John Rhodes
  • June 21, 2023
  • Arithmetic

Solving Equations: How To Find The Value Of X By Isolating Variables

3 (5x – 2) + 2 = 26 x = 2 To solve this equation and find the value of x, we need to isolate x on...
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  • John Rhodes
  • June 21, 2023
  • Arithmetic

How To Solve The Equation 5(N + 2) = 3N: A Step-By-Step Guide

5 (n + 2) = 3n x = -5 To solve the equation 5(n + 2) = 3n, we can follow the following steps: Step 1: Distribute...
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  • John Rhodes
  • June 21, 2023
  • Arithmetic

Learn How To Solve 5(5-X)=-5 Equation Step-By-Step And Get X=2 Solution

5 (5 – x) = -5 x = 6 To solve this equation for x, first distribute the 5 to the quantity inside the parentheses: 5 –...
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