Practice Instantaneous Rate Of Change (iroc) (1.4) - Rates of Change - IB 10 Mathematics

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6 questions · about 4 min · pass mark 70%. Hints available.
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3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Calculate the AROC of $f(x) = 2x + 3$ from $x = 1$ to $x = 4$ .
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Use the formula \$ \\frac{f(b) - f(a)}{b - a} \$.
Question 2.
What is the IROC of $f(x) = 3x^2$ at $x = 1$ ?
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Differentiate \$f(x)\$ first.
3Question 3.
What is the derivative of $f(x) = x^2$ at $x = 1$ ?
- 1
- 2
- 4
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Apply the power rule.
4Question 4.
The IROC at a point is the slope of which line?
- Tangent Line
- Secant Line
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Think about how each line interacts with the curve.
Question 5.
Given the function $f(x) = e^x$ , calculate the IROC at $x = 0$ .
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Differentiate the exponential function.
Question 6.
A company's profit is modeled by $p(x) = x^3 - 3x^2 + 4x - 2$ . Determine the IROC at $x = 1$ .
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Apply derivative rules and evaluate correctly.

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