---
id: act-03-limits-derivatives-test
title: "Test 01 — Limits and Derivatives Quiz"
mode: test
open_at: "2026-02-05T00:00:00+01:00"
close_at: "2026-12-31T23:59:59+01:00"
retakes_enabled: true
max_attempts: 5
grade_max: 100
time_limit_seconds: 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
- [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
- [x] 1
- [ ] Does not exist

## T4
Type: short
Points: 25
Prompt: Differentiate sin x.
Refs:
- mat-02-derivatives#derivatives-of-common-functions
Answer: cos x