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  • John Rhodes
  • June 21, 2023
  • Calculus

Speed: Definition, Formula And Applications

speed (2.1) the absolute value of velocity Speed is a measure of how fast an object moves with respect to time. It is defined as the distance...
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  • John Rhodes
  • June 21, 2023
  • Calculus

How To Find The Slope Of A Tangent Line: Step-By-Step Guide And Formulas

how to find the slope of a tangent line? (2.1) use the slope of smaller and smaller secant lines to find the slope of tangent line at...
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  • John Rhodes
  • June 21, 2023
  • Calculus

How To Calculate Average Rate Of Change In Mathematical Functions: A Step-By-Step Guide

average rate of change (2.1) slope of secant line The average rate of change is a mathematical concept that refers to the average rate at which a...
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  • John Rhodes
  • June 21, 2023
  • Calculus

How The Instantaneous Rate Of Change (Derivative) Is Used In Physics, Economics, And Engineering

instantaneous rate of change (2.1) slope of the tangent line The instantaneous rate of change, also known as the derivative, is the rate at which a function...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Limits In Mathematics: Why (2.2) Can’T Be Determined And How Limits Apply To Functions

limit (2.2) the limit of f(x) as x approaches a is L (see notes for formula)ex. how fast something is moving right before it hits or stops...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Proven: The Derivative Of Sin(X) Is Cos(X)

d/dx sin(x) cos(x) The derivative of sin(x) with respect to x is cos(x). We can use the definition of the derivative to prove this: Recall that the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Learn How To Find The Derivative Of Tan(X) Using The Trigonometric Function Formula

d/dx tan(x) sec^2 (x) To find the derivative of tan(x), we need to use the derivative of the trigonometric function formula. In this case, we have a...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Discover How To Derive The Derivative Of Sec(X) With The Chain Rule And Secant Function | Math Tips

d/dx sec(x) sec(x)tan(x) Using the chain rule and the derivative of the secant function, we can find the derivative of sec(x) with respect to x: Let y...
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