Practice Chain Rule (3.2.5) - Calculus

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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 $f(x) = (x^3 + 2)^5$ .
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Identify the inner function first.
Question 2.
Find the derivative of $f(x) = \sqrt{2x + 1}$ .
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Use the Chain Rule with the square root as the outer function.
3Question 3.
What is the Chain Rule used for?
- To integrate functions
- To differentiate composite functions
- To simplify equations
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Think about how functions relate to one another.
4Question 4.
True or False: The derivative of $f(x) = \sin(2x)$ using Chain Rule is $\cos(2x) \times 2$ .
- True
- False
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Remember the formula for the derivative of sine.
Question 5.
Differentiate $f(x) = \cos(3x^2 + 2)$ .
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Identify both outer and inner functions correctly.
Question 6.
Find the derivative of $f(x) = \sqrt{4x + \sin(x)}$ .
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Remember to apply the Chain Rule to the square root.

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