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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding Relative Minimums in Mathematics | Definition, Geometric Interpretation, and Tests

Relative Minimum In mathematics, a relative minimum is a point on a function where the function has a lower value compared to points close to it, within...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding Critical Numbers in Calculus | A Guide to Identifying Local Extrema and Inflection Points

Critical Numbers In calculus, a critical number is a value in the domain of a function at which the derivative of that function either does not exist...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Exploring Rolle’s Theorem | An essential result in calculus for finding critical points and understanding function behavior

Rolle’s Theorem Rolle’s Theorem is a fundamental result in calculus named after Michel Rolle Rolle’s Theorem is a fundamental result in calculus named after Michel Rolle. It...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Understanding the Mean Value Theorem | Applications and Mathematical Explanation in Calculus

Mean Value Theorem The Mean Value Theorem is a fundamental concept in calculus The Mean Value Theorem is a fundamental concept in calculus. It states that if...
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  • John Rhodes
  • July 31, 2023
  • Calculus

How to Calculate the Derivative of sin(x) Using the Chain Rule

d/dx sinx To find the derivative of the function f(x) = sin(x) with respect to x, denoted as d/dx sin(x), we will use the chain rule To...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Finding the Derivative of Cos x Using the Chain Rule | Simplifying d/dx Cos x

d/dx cos x The expression “d/dx” represents the derivative with respect to x The expression “d/dx” represents the derivative with respect to x. So, when we say...
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  • John Rhodes
  • July 31, 2023
  • Calculus

Derivative of e^x with respect to x | Using the Chain Rule

d/dx eˣ To find the derivative of eˣ with respect to x, we can use the chain rule To find the derivative of eˣ with respect to...
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  • John Rhodes
  • July 31, 2023
  • Calculus

How to Find the Derivative of the Natural Logarithm Function | Step-by-Step Guide and Chain Rule

d/dx ln(x) To find the derivative of the natural logarithm function, ln(x), with respect to x, we can use the chain rule To find the derivative of...
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