Corso: Differential calculus

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Introduzione
- Obvestila Forum
- Use Chrome web browser to view content and educational videos on this page.
- Videos of David Gajser are complemented by the book I. Wazir, T. Garry: Higher Level Mathematics Analysis and Approaches, Pearson 2019.
- 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.
Limits and continuity
- Introduction to limits and continuity
  Author: David Gajser
  
  https://edpuzzle.com/media/5e95bd04438b9f3f07deb5ec
- Continuity
  Author: David Gajser
  https://edpuzzle.com/media/5e95c7e4354ce83f6986cabf
- Continuity examples
  Author: David Gajser
  https://edpuzzle.com/media/5e95d1631389903f10cc03af
- Interesting limits
  Author: David Gajser
  https://edpuzzle.com/media/5e95dbebe39ec83eff0974d2
- Limits and infinity
  Author: David Gajser
  https://edpuzzle.com/media/5e95e38b356a7a3ee6c08b3b
- Computing limits
  Author: David Gajser
  https://edpuzzle.com/media/5e95ea252621e33ee820e81a
- Computing limits
  Author: David Gajser
  https://edpuzzle.com/media/5e95ea252621e33ee820e81a
Definition of derivative
- Some motivation for considering gradients of curves:
  Author: Mateja Fošnarič
- How to compute the gradient of a tangent line
  Author: Mateja Fošnarič
- Differentiation from first principle: definition and examples
  Author: Mateja Fošnarič
- Tangets and smoothness
  Author: David Gajser
  
  Definition of derivative
  Author: David Gajser
  
  Differentiation from first principle
  Author: David Gajser
Basic rules
- Basic differentiation rules
  Author: Mateja Fošnarič
- 4 basic differentiation rules
  Author: David Gajser
Differentiability and the use of GDC
- Using GDC to graph derivatives and points where a function is not differentiable
  Author: Mateja Fošnarič
- 5 derivatives and GDC
  Author: David Gajser
Extremes
- Ekstrema
  Author: David Gajser
  
  Stationary points
  Author: David Gajser
  
  Finding turning points
  Author: David Gajser
Second derivative
- Concavity
  Author: David Gajser
  
  Second derivative
  Author: David Gajser
  
  Second derivative test
  Author: David Gajser
Displacement, velocity and acceleration
- Kinematics
  Author: David Gajser
Tangents and normals
- Tangents and normals
  Author: David Gajser
Derivative of product, quotient and compositum
- Derivative of a product of functions
  Author: Mateja Fošnarič
- Chain rule
  Author: Mateja Fošnarič
- Chain rule
  Avtor: David Gajser
- Chain rule and product rule
  Avtor: David Gajser
- Product rule
  Avtor: David Gajser
- Quotient rule
  Avtor: David Gajser
Derivatives of other functions
- Derivative of inverse
  Author: David Gajser
  
  Derivative of logarithmic and exponential function
  Author: David Gajser
Implicit differentiation
- Implicit differentiation
  Author: David Gajser
  
  Implicit differentiation 2
  Author: David Gajser
  
  Implicit differentiation 3
  Author: David Gajser
  
  Implicit differentiation 4
  Author: David Gajser
Related rates and optimization
- Related rates
  Author: David Gajser
  
  Optimisation
  Author: David Gajser
L'Hospital's rule
- 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

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