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MAINTENANCE BREAK EVERY MONTH ON THIRD MONDAY System will be unavailable at that time! Following maintenance breaks: 20.07.2026 klo 07.00-09.00(EET) 17.08.2026 klo 07.00-09.00(EET) 21.09.2026 klo 07.00-09.00(EET) 19.10.2026 klo 07.00-09.00(EET) 16.11.2026 klo 07.00-09.00(EET) 21.12.2026 klo 07.00-09.00(EET) * Server and network infrastructure maintenance work is scheduled for the nights between Wednesday and Thursday during the first two weeks of each month, from 00:00 to 06:00 (EET).
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  6. UEF:JohdatusDifferentiaalilaskentaan:2026-2027
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UEF: Johdatus differentiaalilaskentaan 2 op, 2026-2027

  • Teacher
    Janne Gröhn


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  • Digicampus maintenance breaks
    • MAINTENANCE BREAK EVERY MONTH ON THIRD MONDAY
    • System will be unavailable at that time!
    • Following maintenance breaks:
    • 20.07.2026 klo 07.00-09.00(EET)
    • 17.08.2026 klo 07.00-09.00(EET)
    • 21.09.2026 klo 07.00-09.00(EET)
    • 19.10.2026 klo 07.00-09.00(EET)
    • 16.11.2026 klo 07.00-09.00(EET)
    • 21.12.2026 klo 07.00-09.00(EET)
    • *
    • Server and network infrastructure maintenance work is scheduled
    • for the nights between Wednesday and Thursday during the first two weeks of each month, from 00:00 to 06:00 (EET).
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UEF: Johdatus differentiaalilaskentaan 2 op, 2026-2027

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Contents
    • Page
      Page
      Read before you start!
    • Page
      Page
      Course completion
    • Page
      Page
      Real numbers and absolute value
    • Quiz
      Quiz
      Exercises on absolute value
    • Page
      Page
      Points on a plane
    • Quiz
      Quiz
      Exercises on points in the plane
    • Quiz
      Quiz
      Exercises on parabolas
    • Page
      Page
      Composite functions
    • Quiz
      Quiz
      Exercises on composite functions
    • Page
      Page
      Factor theorem for polynomials
    • Quiz
      Quiz
      Exercises on polynomials
    • Page
      Page
      1.1 Motivation
    • Quiz
      Quiz
      Exercises on sine, cosine and tangent
      Not available unless: The activity       1.1 Motivation is marked complete
    • Page
      Page
      1.2 Limit of a function
    • Page
      Page
      1.3 One-sided limits and squeeze theorem
    • Page
      Page
      1.4 Limits and infinity
    • Quiz
      Quiz
      Exercises on limits
      Not available unless: The activity       1.4 Limits and infinity is marked complete
    • Page
      Page
      1.5 Continuity
    • Quiz
      Quiz
      Exercises on continuity
      Not available unless: The activity       1.5 Continuity is marked complete
    • Page
      Page
      1.6 Maximum-minimum theorem and intermediate value theorem
    • Quiz
      Quiz
      Exercises on intermediate value theorem
      Not available unless: The activity       1.6 Maximum-minimum theorem and intermediate value theorem is marked complete
    • Page
      Page
      2.1 Tangent lines and their slopes
    • Quiz
      Quiz
      Exercises on slope
      Not available unless: The activity       2.1 Tangent lines and their slopes is marked complete
    • Page
      Page
      2.2 Derivative
    • Quiz
      Quiz
      Exercises on derivative
      Not available unless: The activity       2.2 Derivative is marked complete
    • Page
      Page
      2.3 Differentiation rules
    • Quiz
      Quiz
      Exercises on differentiation rules
      Not available unless: The activity       2.3 Differentiation rules is marked complete
    • Page
      Page
      2.4 Chain rule
    • Quiz
      Quiz
      Exercises on composite functions and the chain rule
      Not available unless: The activity       2.4 Chain rule is marked complete
    • Page
      Page
      2.5 Derivatives of trigonometric functions
    • Quiz
      Quiz
      Exercises on derivatives of trigonometric functions
      Not available unless: The activity       2.5 Derivatives of trigonometric functions is marked complete
    • Page
      Page
      2.6 Higher order derivatives
    • Quiz
      Quiz
      Exercises on derivatives of all orders
      Not available unless: The activity       2.6 Higher order derivatives is marked complete
    • Page
      Page
      2.7 The use of differentials and derivatives
    • Page
      Page
      2.8 Mean value theorem
    • Quiz
      Quiz
      Exercises on monotonicity
      Not available unless: The activity       2.8 Mean value theorem is marked complete
    • Page
      Page
      2.9 Implicit differentiation
    • Quiz
      Quiz
      Exercises on implicit differentiation
      Not available unless: The activity       2.9 Implicit differentiation is marked complete