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Practice — Calculus - Differentiation 1 • The quotient rule

The quotient rule: check 1
Difficulty: ★★☆
4645
Info
M4U-EXT-QP-0606-QUOTIENT-O1

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{3 x + 28}{x + 2}\), with \(x\ne -2\).

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 quotient rule: review variant 1
Difficulty: ★★☆
4646
Info
M4U-EXT-QP-0606-QUOTIENT-O1-V1

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{4 x + 35}{x + 3}\), with \(x\ne -3\).

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 quotient rule: check 2
Difficulty: ★★☆
4647
Info
M4U-EXT-QP-0606-QUOTIENT-O2

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{4 x + 35}{x + 3}\), with \(x\ne -3\).

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 quotient rule: review variant 2
Difficulty: ★★☆
4648
Info
M4U-EXT-QP-0606-QUOTIENT-O2-V1

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{5 x + 44}{x + 4}\), with \(x\ne -4\).

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 quotient rule: check 3
Difficulty: ★★☆
4649
Info
M4U-EXT-QP-0606-QUOTIENT-O3

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{5 x + 44}{x + 4}\), with \(x\ne -4\).

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 quotient rule: review variant 3
Difficulty: ★★☆
4650
Info
M4U-EXT-QP-0606-QUOTIENT-O3-V1

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{2 x + 35}{x + 5}\), with \(x\ne -5\).

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 quotient rule: check 4
Difficulty: ★★☆
4651
Info
M4U-EXT-QP-0606-QUOTIENT-O4

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{2 x + 35}{x + 5}\), with \(x\ne -5\).

Find the height of the horizontal asymptote.

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 quotient rule: review variant 4
Difficulty: ★★☆
4652
Info
M4U-EXT-QP-0606-QUOTIENT-O4-V1

Maths4U Original · Short practice

Let \(\displaystyle f(x)=\frac{3 x + 29}{x + 1}\), with \(x\ne -1\).

Find the height of the horizontal asymptote.

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

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