What's on a Grade 12 derivatives (calculus) worksheet?

Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so you can match the child's level.

What is the power rule?

The derivative of a·xⁿ is a·n·xⁿ⁻¹, multiply by the exponent and lower the exponent by one.

What is the derivative of a constant?

Zero, a constant doesn't change, so its rate of change is 0.

What is the derivative of sin(kx) and cos(kx)?

d/dx[sin(kx)] = k·cos(kx), and d/dx[cos(kx)] = −k·sin(kx). The extra factor of k comes from the chain rule.

What is the derivative of e^(kx)?

d/dx[e^(kx)] = k·e^(kx), the exponential function is its own derivative, up to that chain-rule factor of k.

Grade 12 · Calculus: Derivatives

Grade 12 Derivatives (Calculus) Worksheets

Free printable Grade 12 derivatives (calculus) worksheets, each with an answer key and sized to fit one page. Pick beginner, intermediate, or advanced and generate a fresh pack in seconds. No AI, no wrong answers.

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Free to start · answer keys included · your first pack unlocks 14 days of Standard · no card required.

Grade 12 examples by level

Beginnerd/dx (4x³ + 3x) =12x² + 3
Intermediated/dx ( $5\cos(2x)$ ) = $-10\sin(2x)$
Advancedd/dx ( $\frac{12}{x^{4}}$ ) = $\frac{-48}{x^{5}}$

Real problems from the generator: always mathematically correct, and every pack is different.

Why Grade 12 derivatives (calculus) practice matters

Derivatives are the heart of calculus, rates of change, slopes of curves, and optimisation across science, engineering, and economics.

Grade 12 is the only grade Mathter offers derivatives (calculus) worksheets for.

Want the full method, tips, and common mistakes? Read the Derivatives (Calculus) Worksheets guide.

Frequently asked questions

What's on a Grade 12 derivatives (calculus) worksheet?: Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so you can match the child's level.
What is the power rule?: The derivative of a·xⁿ is a·n·xⁿ⁻¹, multiply by the exponent and lower the exponent by one.
What is the derivative of a constant?: Zero, a constant doesn't change, so its rate of change is 0.
What is the derivative of sin(kx) and cos(kx)?: d/dx[sin(kx)] = k·cos(kx), and d/dx[cos(kx)] = −k·sin(kx). The extra factor of k comes from the chain rule.
What is the derivative of e^(kx)?: d/dx[e^(kx)] = k·e^(kx), the exponential function is its own derivative, up to that chain-rule factor of k.

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Free to start · answer keys included · your first pack unlocks 14 days of Standard · no card required.