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 a teacher, tutor, or parent can match the learner'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

Printable Grade 12 derivatives (calculus) worksheets, sized to fit one page. Download a free sample below, or pick beginner, intermediate, or advanced and generate a fresh pack with answer keys in seconds. No AI, no wrong answers.

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Grade 12 examples by level

Beginnerd/dx (4x³ + 3x) =Answer12x² + 3
Intermediated/dx ( $5\cos(2x)$ ) =Answer $-10\sin(2x)$
Advancedd/dx ( $\frac{12}{x^{4}}$ ) =Answer $\frac{-48}{x^{5}}$

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

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Why Grade 12 derivatives (calculus) practice matters

A derivative answers what no average ever can, exactly how fast something is changing at one instant, the way an engineer needs a rocket's precise velocity rather than its average over the flight.

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 a teacher, tutor, or parent can match the learner'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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