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.
Practice Worksheet
Grade 12 Calculus Practice
Solve each problem. Show your work. Use plain text for all mathematical notation.
- 1.Find the limit: lim (x->3) (x² - 9) / (x - 3)
- 2.Find the derivative of f(x) = 3x^4 - 5x² + 7x - 1 using the power rule.
- 3.Find the derivative of g(x) = (2x + 1) * (x³ - 4x) using the product rule.
- 4.A particle moves along a line such that its position at time t is given by s(t) = t³ - 6t² + 5. Find the velocity of the particle when t = 4 seconds.
- 5.Find the derivative of h(x) = (5x² + 3)^4 using the chain rule.
- 6.A farmer wants to fence a rectangular field that borders a straight river. He has 1000 meters of fencing. What are the dimensions of the field that will maximize the area enclosed, assuming no fencing is needed along the river?
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Grade offline workFrequently 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.