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Practice — Calculus - Differentiation 1 • The product rule

The product rule: check 1
Difficulty: ★★☆
4637
Info
M4U-EXT-QP-0606-PRODUCT-O1

Maths4U Original · Short practice

Let \(f(x)=\left(x + 3\right)^{4} \left(2 x + 22\right)\), with real x.

Find f′(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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The product rule: review variant 1
Difficulty: ★★☆
4638
Info
M4U-EXT-QP-0606-PRODUCT-O1-V1

Maths4U Original · Short practice

Let \(f(x)=\left(x + 1\right)^{2} \left(3 x + 23\right)\), with real x.

Find f′(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
The product rule: check 2
Difficulty: ★★☆
4639
Info
M4U-EXT-QP-0606-PRODUCT-O2

Maths4U Original · Short practice

Let \(f(x)=\left(x + 1\right)^{2} \left(3 x + 23\right)\), with real x.

Find f″(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
The product rule: review variant 2
Difficulty: ★★☆
4640
Info
M4U-EXT-QP-0606-PRODUCT-O2-V1

Maths4U Original · Short practice

Let \(f(x)=\left(x + 2\right)^{3} \left(4 x + 24\right)\), with real x.

Find f″(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
The product rule: check 3
Difficulty: ★★☆
4641
Info
M4U-EXT-QP-0606-PRODUCT-O3

Maths4U Original · Short practice

Let \(f(x)=\left(x + 2\right)^{3} \left(4 x + 24\right)\), with real x.

Find f(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
The product rule: review variant 3
Difficulty: ★★☆
4642
Info
M4U-EXT-QP-0606-PRODUCT-O3-V1

Maths4U Original · Short practice

Let \(f(x)=\left(x + 3\right)^{4} \left(5 x + 25\right)\), with real x.

Find f(0).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
The product rule: check 4
Difficulty: ★★☆
4643
Info
M4U-EXT-QP-0606-PRODUCT-O4

Maths4U Original · Short practice

Let \(f(x)=\left(x + 3\right)^{4} \left(5 x + 25\right)\), with real x.

Find the leading coefficient of f′(x).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

Log in to check answers and record progress. You can still view solutions.
The product rule: review variant 4
Difficulty: ★★☆
4644
Info
M4U-EXT-QP-0606-PRODUCT-O4-V1

Maths4U Original · Short practice

Let \(f(x)=\left(x + 1\right)^{2} \left(2 x + 26\right)\), with real x.

Find the leading coefficient of f′(x).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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