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Sagot :
Answer:
f'(-2.4) ≈ -14
General Formulas and Concepts:
Algebra I
Coordinate Planes
- Coordinates (x, y)
Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Functions
- Function Notation
Calculus
Differentiation
- Derivatives
- Derivative Notation
Step-by-step explanation:
*Note:
The definition of a derivative is the slope of the tangent line.
Step 1: Define
Identify.
f(-2.4) = -1
f(-1.9) = -8
Step 2: Differentiate
Simply plug in the 2 coordinates into the slope formula to find slope m.
- [Derivative] Set up [Slope Formula]: [tex]\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}[/tex]
- Substitute in coordinates: [tex]\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}[/tex]
- Evaluate: [tex]\displaystyle f'(-2.4) \approx -14[/tex]
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Learn more about derivatives: https://brainly.com/question/17830594
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
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