Grade 12 Calculus Worksheets
Free printable calculus practice for Grade 12 students. Generate problems, solve them on screen or paper, and download as PDF.
What your child will practice
- LimitsDetermine limits of functions algebraically and interpret their meaning graphically.
- Definition of DerivativeDetermine the derivative of a function using first principles (limit definition).
- Power RuleApply the power rule to differentiate polynomial functions.
- Product and Quotient RulesApply the product rule and quotient rule to differentiate functions.
- Chain RuleApply the chain rule to differentiate composite functions.
- Derivatives of Trigonometric FunctionsDetermine the derivatives of sine, cosine, and tangent functions.
- Derivatives of Exponential and Logarithmic FunctionsDetermine the derivatives of exponential and logarithmic functions.
- Velocity and AccelerationDetermine velocity and acceleration from a position function using derivatives.
Free Practice Worksheets
Print, solve on paper, then upload a photo for instant AI grading and feedback.
Build confidence with approachable problems
Solve each problem. Take your time.
- 1.Find the limit: lim (x->2) (x² + 3)
- 2.Find the derivative of f(x) = 5x³ - 2x + 1
- 3.Use the power rule to find the derivative of g(x) = x^4 / 2
- 4.Find the derivative of h(x) = (2x + 1)² using the chain rule.
- 5.If the position of a particle is given by s(t) = 3t², find its velocity at t = 4.
- 6.Find the derivative of k(x) = x² * sin(x) using the product rule.
Full range of grade expectations
Solve each problem. Show your work.
- 1.Evaluate the limit: lim (x→3) (x² - 9) / (x - 3)
- 2.Find the derivative of the function f(x) = 3x⁴ - 2x³ + 5x - 1 using the power rule.
- 3.A particle moves along a straight line. Its position at time t is given by s(t) = t³ - 6t² + 5. Find the velocity and acceleration of the particle when t = 4 seconds.
- 4.Use the quotient rule to find the derivative of g(x) = (2x + 1) / (x - 3).
- 5.A company manufactures widgets. The cost function is C(x) = 1000 + 5x + 0.01x² and the revenue function is R(x) = 20x. Find the production level x that maximizes the profit. (Profit = Revenue - Cost).
- 6.Find the derivative of h(x) = (x² + 1)³ using the chain rule.
Want Unlimited Calculus Practice?
Sign up for free to unlock AI-generated worksheets, instant grading, and a personalized study plan tailored to your child's level.
Create a Free AccountFrequently Asked Questions
How often should my child practice calculus?
Short daily practice sessions of 10-15 minutes are more effective than long weekly sessions. Consistency builds lasting understanding.
How do I know if my child is at the right level for these worksheets?
If your child can complete about 70% of the problems correctly, the level is appropriate. If it's too easy or too hard, try an adjacent grade level.
Can I use these worksheets for homeschool?
Yes. The worksheets align with standard curriculum expectations and can supplement any math program. Generate multiple worksheets to create a full practice set.