English · United States · Free printable sample
Try these questions and check the worked answers. Choose a skill for targeted practice or combine skills in a unit assessment.
Levels indicate approximate learning stages, not certified alignment with a country’s curriculum. Choose by the skills the learner is studying.
WorksheetWise · Standard · 1097
Work through each question. Show your reasoning where space is provided.
Name: ____________________ · Date: ____________
1. For f(x) = 8 x^3 + (5), find f′(x).
2. For f(x) = 3 x^3 + (7), find f′(x).
3. For f(x) = 6 x^3 + (0), find f′(x).
4. For f(x) = 2 x^2 + (-5), find f′(x).
5. For f(x) = 5 x^3 + (-2), find f′(x).
WorksheetWise · Standard · 1097
Work through each question. Show your reasoning where space is provided.
1. For f(x) = 8 x^3 + (5), find f′(x).
24 x^2
Power rule: d(x^n)/dx = n x^(n−1). A constant differentiates to 0.
2. For f(x) = 3 x^3 + (7), find f′(x).
9 x^2
Power rule: d(x^n)/dx = n x^(n−1). A constant differentiates to 0.
3. For f(x) = 6 x^3 + (0), find f′(x).
18 x^2
Power rule: d(x^n)/dx = n x^(n−1). A constant differentiates to 0.
4. For f(x) = 2 x^2 + (-5), find f′(x).
4 x^1
Power rule: d(x^n)/dx = n x^(n−1). A constant differentiates to 0.
5. For f(x) = 5 x^3 + (-2), find f′(x).
15 x^2
Power rule: d(x^n)/dx = n x^(n−1). A constant differentiates to 0.
Preparing the editor…
Level: 0, 1, 2, 3, 4, 5, 6
Level: 0, 1, 2, 3, 4, 5, 6
Level: 2, 3, 4, 5, 6
Level: 3, 4, 5, 6
Level: 0, 1
Level: 2, 3, 4, 5, 6
Level: 4, 5, 6
Level: 1, 2, 3, 4, 5, 6
Level: 1, 2, 3, 4
Level: 1, 2, 3, 4, 5
Level: 1, 2, 3, 4, 5, 6
Level: 1, 2, 3, 4, 5, 6
Level: 7, 8, 9
Level: 7, 8, 9, 10
Level: 10, 11, 12
Level: 7, 8, 9, 10
Level: 7, 8, 9, 10
Level: 10, 11, 12
WorksheetWise authors these practice questions and translations. Numerical answers are checked by automated tests. Reading and history include marking guidance. These materials have not been independently certified by an exam board.
For US classrooms and learning at home. Letter paper is selected initially. Choose number ranges to match the current lesson; grade placement varies, so these activities are organised by skill rather than a claimed Common Core grade.