Derivatives
Quest

From slopes on a curve to the full toolkit of differentiation. Three parts, zero memorisation.

Prerequisite: Limits Quest recommended first

Part 1

Graphical Derivatives

Tangent line explorer, dual-graph shape problems, and two-slider differentiability checks.

Tangent linesShape of f'Left = RightNot differentiable

Part 2

Differentiation Rules

Power, product, quotient and chain rules. MCQ and drag-and-drop, progressively harder.

Power ruleProduct ruleQuotient ruleChain rule

Part 3

L'Hôpital's Rule

Identify indeterminate forms, verify the condition, then apply step by step.

0/0 form∞/∞ formVerify conditionApply rule

Part 1 — Graphical Derivatives

0 pts

Part 2 — Differentiation Rules

0 pts

Part 3 — L'Hôpital's Rule

0 pts

DerivativesQuest