Practice Sum And Difference Rules (2.3) - Derivatives - IB 10 Mathematics

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9 questions

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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.
Differentiate $f(x) = 2x + 4$ .
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Apply the constant and sum rules.
Question 2.
Differentiate $f(x) = 5x^3 + 3x$ .
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Use the power rule.
3Question 3.
What is the derivative of $f(x) = g(x) + h(x)$ ?
- \$ g'(x) \$
- \$ g'(x) + h'(x) \$
- \$ g'(x) - h'(x) \$
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Think about breaking down the function into its parts.
4Question 4.
The derivative of a constant is:
- True
- False
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Consider how constants behave in functions.
Question 5.
Differentiate $f(x) = 4x^3 + 2x^2 - 6x + 7$ and interpret the result.
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Apply the power rule and sum rule accordingly.
Question 6.
Differentiate $f(x) = sin(x) + e^x - 5$ and analyze the nature of the results.
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Pay attention to how each part contributes to the derivative.

5 more questions in this section. Enroll free to practise them all.