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Differentiation Worksheets

Free printable differentiation worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from power rule: d/dx[ax^n] at the easy level through to chain rule: d/dx[(ax+b)^n] at the advanced level.

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Difficulty Levels

Beginner

Concepts
Power rule: d/dx[ax^n]
Number Range
a: 1–5, n: 2–4
Steps
1 step
Example
d/dx[3xΒ²]

Easy

Concepts
Differentiate a cubic polynomial
Number Range
a: 1–3, b: βˆ’4 to 4, c: βˆ’6 to 6
Steps
4–5 steps
Example
d/dx[2xΒ³ + 3xΒ² βˆ’ x + 1]

Medium

Concepts
Derivatives of sin, cos, e^x
Number Range
coefficient: 1–4
Steps
1 step
Example
d/dx[3 sin(x)]

Hard

Concepts
Chain rule: d/dx[(ax+b)^n]
Number Range
a: 2–5, b: βˆ’4 to 4, n: 2–4
Steps
3 steps
Example
d/dx[(2x + 3)Β³]

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