Skip to content

Math Sheet Studio

Generator Worksheets by grade Printables Blog Pricing

Generator Worksheets by grade Printables Blog Pricing

Math Sheet Studio

Printable math worksheets you can fix one question at a time.

Product

Generator Pricing All topics By Common Core standard Blog

Worksheets

Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Algebra 1 Geometry Algebra 2 Calculus

Company

Contact Privacy Terms

© 2026 Math Sheet StudioPrivacy · Terms

Build a worksheet

Changes apply to unlocked questions.

Describe it

We pick the skills and settings; every question and answer is still computed, so the key stays correct.

Templates

Start from a template

Unit test: 20 questions, easy to hard, 2 points each, roomy spacing. Keeps your selected skills.

Choose skills

Search skills

Limits

Limits by direct substitutionLimits by factoring (0/0 forms)Limits at infinityOne-sided limits and continuity

Derivatives

Derivatives with the power ruleThe product and quotient rulesThe chain ruleDerivatives of trigonometric, exponential and logarithmic functionsEquations of tangent lines

Applications of derivatives

Critical points, extrema and increasing intervalsPosition, velocity and accelerationOptimization problemsRelated ratesConcavity and inflection points

Integrals

Indefinite integrals (antiderivatives)Definite integralsIntegration by substitutionArea between curvesRiemann sums and the trapezoidal rule

Differential equations

Differential equations: initial value problemsExponential growth and decay models (dy/dt = ky)

Each skill gets its own section. Up to 8 skills per sheet.

Number of questions

Difficulty

Easy to hard within each section

Powers of a quadratic

More options

Worksheet title

Layout

Working space

Points

Prints the total on the score line and a scoring table on the answer key.

Number optionsNo negative numbersWhole-number answers only (no fractions or decimals)

Largest number in a question

Applies to new and unlocked questions. Questions you edited by hand are left as typed.

Step-by-step answer keyPro: each answer shows its working in the PDF.QR code for the answersPrints a code that opens the answer key on a phone, so work can be checked at home.

Customize sections

Set each section’s count and difficulty. Use the arrows to change its position. Locked questions stay in selected sections; unlock them to reduce counts or change their difficulty.

1. The chain rule

Questions

Difficulty

Planned: 12 / 60 questions

12 questionsSign in to download PDFsSettingsShow answers

Name ______________________Date ____________Score ____ / 12

The chain rule practice

The chain rule · 1–12

Find the derivative.

Medium

1.f(x) = (2x² + 5x − 2)⁶

Medium

2.f(x) = (2x² + 6x + 6)³

Medium

3.f(x) = (4x² + 3x + 9)³

Medium

4.f(x) = (4x² + 2)⁵

Medium

5.f(x) = (3x² + 4x − 3)⁴

Medium

6.f(x) = (−3x² + 4x − 1)³

Medium

7.f(x) = (3x² + 4x − 5)⁵

Medium

8.f(x) = (−4x² + x − 5)⁴

Medium

9.f(x) = (2x² + 2x + 1)²

Medium

10.f(x) = (4x² − 2x + 6)⁶

Medium

11.f(x) = (−3x² − 3x + 4)⁵

Medium

12.f(x) = (x² + 2x − 7)⁴

Answer key — The chain rule practice

The chain rule

1.6(4x + 5)(2x² + 5x − 2)⁵

2.3(4x + 6)(2x² + 6x + 6)²

3.3(8x + 3)(4x² + 3x + 9)²

4.58x(4x² + 2)⁴

5.4(6x + 4)(3x² + 4x − 3)³

6.3(−6x + 4)(−3x² + 4x − 1)²

7.5(6x + 4)(3x² + 4x − 5)⁴

8.4(−8x + 1)(−4x² + x − 5)³

9.2(4x + 2)(2x² + 2x + 1)

10.6(8x − 2)(4x² − 2x + 6)⁵

11.5(−6x − 3)(−3x² − 3x + 4)⁴

12.4(2x + 2)(x² + 2x − 7)³

Made with Math Sheet Studio · mathsheetstudio.com — free printable math worksheets

mathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.commathsheetstudio.com