52 lines
1.0 KiB
Markdown
52 lines
1.0 KiB
Markdown
---
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id: act-03-limits-derivatives-test
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title: "Test 01 — Limits and Derivatives Quiz"
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mode: test
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open_at: "2026-02-05T00:00:00+01:00"
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close_at: "2026-12-31T23:59:59+01:00"
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retakes_enabled: true
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max_attempts: 5
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grade_max: 100
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time_limit_seconds: 1500
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---
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# Test 01 — Limits and Derivatives Quiz
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## T1
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Type: mcq
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Points: 25
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Prompt: The derivative of a function at a point is defined as:
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Refs:
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- mat-02-derivatives#derivative-definition
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Choices:
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- [ ] The area under the curve from 0 to x
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- [x] The limit of the difference quotient as the step approaches 0
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- [ ] The average rate of change over an interval
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## T2
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Type: short
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Points: 25
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Prompt: Compute d/dx of x^4.
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Refs:
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- mat-02-derivatives#derivative-rules
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Answer: 4x^3
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## T3
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Type: mcq
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Points: 25
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Prompt: What is the limit of (sin x)/x as x approaches 0?
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Refs:
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- mat-01-limits-continuity#special-limits
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Choices:
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- [ ] 0
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- [x] 1
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- [ ] Does not exist
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## T4
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Type: short
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Points: 25
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Prompt: Differentiate sin x.
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Refs:
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- mat-02-derivatives#derivatives-of-common-functions
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Answer: cos x
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