calculus/activities/03-limits-derivatives-test.md

id	title	mode	open_at	close_at	retakes_enabled	max_attempts	grade_max	time_limit_seconds
act-03-limits-derivatives-test	Test 01 — Limits and Derivatives Quiz	test	2026-02-05T00:00:00+01:00	2026-12-31T23:59:59+01:00	true	5	100	1500

Test 01 — Limits and Derivatives Quiz

T1

Type: mcq Points: 25 Prompt: The derivative of a function at a point is defined as: Refs:

• mat-02-derivatives#derivative-definition Choices:
• The area under the curve from 0 to x
• The limit of the difference quotient as the step approaches 0
• The average rate of change over an interval

T2

Type: short Points: 25 Prompt: Compute d/dx of x^4. Refs:

• mat-02-derivatives#derivative-rules Answer: 4x^3

T3

Type: mcq Points: 25 Prompt: What is the limit of (sin x)/x as x approaches 0? Refs:

• mat-01-limits-continuity#special-limits Choices:
• 0
• 1
• Does not exist

T4

Type: short Points: 25 Prompt: Differentiate sin x. Refs:

• mat-02-derivatives#derivatives-of-common-functions Answer: cos x