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  • John Rhodes
  • June 21, 2023
  • Calculus

Inverse Relationships: Exploring The Fundamentals Of Operations, Functions, And Matrices

inverse y = 1/x In mathematics, the inverse of an operation or function is the opposite or reverse operation or function. It is the operation or function...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Exponential Growth And Its Effects In Real-Life Scenarios

exponential growth y = 2ˣ Exponential growth is a concept in mathematics where a quantity or value increases at an accelerated rate over time. This concept can...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Exponential Decay: A Mathematical Process For Quantitative Decrease

exponential decay y = (1/2)ˣ Exponential decay is a mathematical process in which a quantity decreases by a constant proportion over time. The formula for exponential decay...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Finding X-Intercepts: How To Locate Where A Function Crosses The X-Axis

See where f(x) crosses x-axis.Set f(x) equal to zero. Find the zeros of a function. To find where the function f(x) crosses the x-axis, we need to...
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  • John Rhodes
  • June 21, 2023
  • Calculus

How To Find The Derivative Of A Function And Use It To Find Slope And Tangent Line Equation

Find derivative of f(x), plug in point to find slope. Plug into y – y1 = m(x – x1). Find the equation of a line tangent to...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Derivatives: Using Power Rule, Product Rule, Quotient Rule, And Chain Rule For Math Equations.

Find derivative of f(x), plug in point to find slope. Slope of normal line is opposite reciprocal of this. Plug into y – y1 = m(x –...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Derivatives And Critical Points: A Guide To Finding The Maximum And Minimum Of A Function.

Find derivative. Find critical points.When f ‘(x) is positive – increasing, negative – decreasing Find the interval where f(x) is increasing/decreasing given an equation. To find the...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Positive And Negative Relationships In Graphs: A Guide To Variable Interactions

When graph is above x-axis – increasing, below x-axis – decreasing Find the interval where f(x) is increasing/decreasing given a graph of f ‘ (x). A graph...
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