Basic Differentiation Rules - Worksheet 4 - 12th Grade
MediumApply power, constant, sum, and difference rules (Medium)
24 problems · 20-25 minutes · Skills: derivatives, differentiation rules, calculus
About This Worksheet
This medium-level worksheet contains 24 problems designed for 12th Grade students practicing basic differentiation rules. Medium worksheets introduce larger numbers and varied question formats to deepen understanding and build fluency.
Basic differentiation rules transform calculus from a procedure requiring limits every time into an efficient computational process. These rules are applied constantly in calculus — in optimization, related rates, curve sketching, and integration — and fluency with them is non-negotiable for success in calculus.
- Apply the Power Rule to differentiate polynomial functions
- Apply the Constant Rule, Sum/Difference Rule, and Constant Multiple Rule to differentiate combinations
- Find equations of tangent lines to curves at given points using derivatives
- Find the equation of a normal line (perpendicular to the tangent) at a given point
- Differentiate a function with fractional or negative exponents using the Power Rule
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
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What skills does this derivatives worksheet cover?
This worksheet focuses on derivatives, differentiation rules, calculus. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 24 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.