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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding End Behavior of Mathematical Functions: Insights and Characteristics

End behavior how a graph behaves as it approaches positive or negative infinity End behavior refers to the behavior of a mathematical function as its input variable...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Maximizing Your Calculus Potential with the Intermediate Value Theorem

Intermediate Value Theorem if f(x) is continuous on [a,b], then there will be a point x=c that lies in between [a,b] The Intermediate Value Theorem (IVT) is...
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  • John Rhodes
  • June 21, 2023
  • Calculus

How to Approximate Zeros or Roots of a Function: Steps and Methods

Approximating zeros If the sign of the function value (y) changes between consecutive integers, there must be a zero between them Approximating zeros or roots of a...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Understanding Average Rate of Change in Math: Definition and Examples

average rate of change f(b)-f(a)/b-a The average rate of change refers to the slope of a line that connects two points on a graph of a function...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Maximizing Function Performance: A Step-by-Step Guide to Finding Absolute Minimum and Maximum Values

absolute min/max the highest and lowest point on a graph Absolute minimum and maximum refer to the smallest and largest values a function attains over a given...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Learn how to find relative maxima and minima on a graph with step-by-step instructions and examples

relative min/max the lowest/highest point of a graph within a prescribed interval on the graph Relative minimum and maximum refer to turning points on a graph which...
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  • John Rhodes
  • June 21, 2023
  • Calculus

The Complete Guide to Using the Chain Rule in Calculus for Multiple Composed Functions

d/dx[f(g(x))]=f'(g(x))g'(x) the chain rule for derivatives In calculus, the chain rule is used to differentiate a function that is composed of two or more functions. If we...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Partial Differentiation: A Guide to Calculating Partial Derivatives of Functions with Respect to Multiple Variables.

the process used to differentiate functions using x and y together implicit differentiation The process of differentiating functions with respect to both x and y variables together...
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