Differential calculus

Section outline

• Select section General

  Collapse Expand

  General

  Collapse all Expand all

  • Select activity Obvestila

    

    Obvestila Forum
  • Select activity Use Chrome web browser to view content and educati...

    Use Chrome web browser to view content and educational videos on this page.

    
    

  • Select activity Videos of David Gajser are complemented by the boo...

    Videos of David Gajser are complemented by the book I. Wazir, T. Garry: Higher Level Mathematics Analysis and Approaches, Pearson 2019.

    
    

  • Select activity Videos of Mateja Fošnarič are complemented by the ...

    Videos of Mateja Fošnarič are complemented by the book M. Haese, M. Humphries, C. Sangwin, N. Vo: Mathematics: Analysis and Approaches SL 2, Haese Mathematics 2019.

    
    

• Select section Limits and continuity

  Collapse Expand

  Limits and continuity

  • Select activity Introduction to limits and continuityAuthor: David...

    Introduction to limits and continuity

    Author: David Gajser

    
    

    https://edpuzzle.com/media/5e95bd04438b9f3f07deb5ec
    

    
    

  • Select activity ContinuityAuthor: David Gajser https://edpuzz...

    Continuity

    Author: David Gajser

     https://edpuzzle.com/media/5e95c7e4354ce83f6986cabf

    
    

  • Select activity Continuity examplesAuthor: David Gajser https...

    Continuity examples

    Author: David Gajser

     https://edpuzzle.com/media/5e95d1631389903f10cc03af

    
    

  • Select activity Interesting limitsAuthor: David Gajser https:...

    Interesting limits

    Author: David Gajser

     https://edpuzzle.com/media/5e95dbebe39ec83eff0974d2

    
    

  • Select activity Limits and infinityAuthor: David Gajser https...

    Limits and infinity

    Author: David Gajser

     https://edpuzzle.com/media/5e95e38b356a7a3ee6c08b3b
    

    
    

  • Select activity Computing limitsAuthor: David Gajserhttps://edpuzz...

    Computing limits

    Author: David Gajser

    https://edpuzzle.com/media/5e95ea252621e33ee820e81a

     

    
    

  • Select activity Computing limitsAuthor: David Gajserhttps://edpuzz...

    Computing limits

    Author: David Gajser

    https://edpuzzle.com/media/5e95ea252621e33ee820e81a

     

    
    

• Select section Definition of derivative

  Collapse Expand

  Definition of derivative

  • Select activity Some motivation for considering gradients of curve...

    Some motivation for considering gradients of curves:

    Author: Mateja Fošnarič

    
    

  • Select activity How to compute the gradient of a tangent lineAutho...

    How to compute the gradient of a tangent line

    Author: Mateja Fošnarič
    

    
    

  • Select activity Differentiation from first principle: definition a...

    Differentiation from first principle: definition and examples

    Author: Mateja Fošnarič
    

    
    

    
    

    
    

  • Select activity Tangets and smoothness ...

    Tangets and smoothness
    Author: David Gajser
    
    

    Definition of derivative
    Author: David Gajser
    
    

    Differentiation from first principle
    Author: David Gajser
    
    

• Select section Basic rules

  Collapse Expand

  Basic rules

  • Select activity Basic differentiation rulesAuthor: Mateja Fošnarič...

    Basic differentiation rules

    Author: Mateja Fošnarič
    

    
    

  • Select activity 4 basic differentiation ru...

    4 basic differentiation rules
    Author: David Gajser
    
    

• Select section Differentiability and the use of GDC

  Collapse Expand

  Differentiability and the use of GDC

  • Select activity Using GDC to graph derivatives and points where a ...

    Using GDC to graph derivatives and points where a function is not differentiable

    Author: Mateja Fošnarič
    

    
    

    
    

    
    

  • Select activity 5 derivatives and GDC ...

    5 derivatives and GDC
    Author: David Gajser
    
    

• Select section Extremes

  Collapse Expand

  Extremes

  • Select activity Ekstrema Author...

    Ekstrema
    Author: David Gajser
    
    

    Stationary points
    Author: David Gajser
    
    

    Finding turning points
    Author: David Gajser
    
    

• Select section Second derivative

  Collapse Expand

  Second derivative

  • Select activity Concavity Autho...

    Concavity
    Author: David Gajser
    
    

    Second derivative
    Author: David Gajser
    
    

    Second derivative test
    Author: David Gajser
    
    

• Select section Displacement, velocity and acceleration

  Collapse Expand

  Displacement, velocity and acceleration

  • Select activity Kinematics Auth...

    Kinematics
    Author: David Gajser
    
    

• Select section Tangents and normals

  Collapse Expand

  Tangents and normals

  • Select activity Tangents and normals ...

    Tangents and normals
    Author: David Gajser
    
    

• Select section Derivative of product, quotient and compositum

  Collapse Expand

  Derivative of product, quotient and compositum

  • Select activity Derivative of a product of functionsAuthor: Mateja...

    Derivative of a product of functions

    Author: Mateja Fošnarič
    

    
    

    
    

  • Select activity Chain ruleAuthor: Mateja Fošnaričhttps://youtu.be/...

    Chain rule

    Author: Mateja Fošnarič
    

    
    

    
    

  • Select activity Chain rule Avto...

    Chain rule
    Avtor: David Gajser
    
    

  • Select activity Chain rule and product rul...

    Chain rule and product rule
    Avtor: David Gajser
    
    

  • Select activity Product rule Av...

    Product rule
    Avtor: David Gajser
    
    

  • Select activity Quotient rule A...

    Quotient rule
    Avtor: David Gajser
    
    

• Select section Derivatives of other functions

  Collapse Expand

  Derivatives of other functions

  • Select activity Derivative of inverse ...

    Derivative of inverse
    Author: David Gajser
    

    Derivative of logarithmic and exponential function
    Author: David Gajser
    

• Select section Implicit differentiation

  Collapse Expand

  Implicit differentiation

  • Select activity Implicit differentiatio...

    Implicit differentiation
    Author: David Gajser
    

    Implicit differentiation 2
    Author: David Gajser
    

    Implicit differentiation 3
    Author: David Gajser
    

    Implicit differentiation 4
    Author: David Gajser
    

• Select section Related rates and optimization

  Collapse Expand

  Related rates and optimization

  • Select activity Related rates ...

    Related rates
    Author: David Gajser
    

    Optimisation
    Author: David Gajser
    

• Select section L'Hospital's rule

  Collapse Expand

  L'Hospital's rule

  • Select activity L'Hospital introduction ...

    L'Hospital introduction
    Author: David Gajser
    

    L'Hospital examples 1
    Author: David Gajser
    

    L'Hospital examples 2
    Author: David Gajser
    

    L'Hospital proof idea
    Author: David Gajser