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  • John Rhodes
  • June 21, 2023
  • Calculus

Increasing Functions In Calculus: Positive Derivatives And Upward Slopes

When f ‘(x) is positive, f(x) is increasing When f ‘(x) is positive, it means that the function f(x) is increasing at that point x. In other...
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  • John Rhodes
  • June 21, 2023
  • Calculus

The Significance Of F'(X) Being Negative In Math: Implications For Function Decrease

When f ‘(x) is negative, f(x) is decreasing When f'(x) is negative, it means that the slope of the graph of the function f(x) is negative at...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Local Minimum: How The Function’S Slope Determines Its Lowest Point

When f ‘(x) changes from negative to positive, f(x) has a relative minimum When the derivative of a function, f ‘(x), changes from negative to positive at...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering Calculus: Identifying Local Maximum At X Using Derivatives

When f ‘(x) changes from positive to negative, f(x) has a relative maximum local maximum at x. Explanation: The derivative of a function f(x) represents the rate...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Increasing F'(X) And Its Implications On Rate Of Change And Function Curvature

When f ‘(x) is increasing, f(x) is concave up When f ‘(x) is increasing, it implies that the slope of the tangent line at f(x) is increasing...
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  • John Rhodes
  • June 21, 2023
  • Algebra

How To Complete The Square: Steps For Solving Quadratic Equations And Finding Vertex

Steps to Complete the Square 1. Move Constant to the right2. Add (coefficient/2)^2 to both sides3. Square both sides4. Split into 2 possible solutions5. Get 2 solutions...
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  • John Rhodes
  • June 21, 2023
  • Algebra

Mastering The Quadratic Formula For Solving Quadratic Equations

quadratic formula D=R X T The quadratic formula is a formula used for solving quadratic equations of the form ax^2 + bx + c = 0, where...
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  • John Rhodes
  • June 21, 2023
  • Algebra

How To Calculate Compound Interest Formula With Examples For Investment Planning

compound interest formula if D> 0: 2 real solutionsif D
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