Practice Product Rule (3.2.3) - Calculus

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9 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Differentiate $f(x) = x^2 ext{sin}(x)$ .
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Identify the two functions to differentiate.
Question 2.
Differentiate $f(x) = 3x^3 ext{cos}(x)$ .
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Remember to differentiate both parts of the product.
3Question 3.
What is the Product Rule used for?
- Finding square roots
- Finding derivatives of products of functions
- Adding functions
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Think about its application in calculus.
4Question 4.
True or False: The Product Rule states that differentiation of a product is the sum of the derivatives.
- True
- False
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Recall the formula.
Question 5.
If $f(x) = (x^2 + 1)( ext{sin}(x) + x)$ , find $f'(x)$ .
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Remember to apply Product Rule carefully and simplify your answer.
Question 6.
Differentiate $f(x) = e^x ext{cos}(2x)$ .
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Don't forget the chain rule when dealing with \$ ext{cos}(2x) \$.

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