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Differential calculus

• Differentiation

General

• Derivative
• Partial derivative
• Implicit derivative
• Lateral derivatives
• Differential operator
• Difference quotient
• Quadratic differential
• Mean value theorem

Differentiation rules

• Sum rule
• Product rule
• Quotient rule
• Chain rule
• Power rule

Derivatives of general functions

• Derivative of a constant
• Derivative of a higher degree
• Derivative of a power function
• Derivative of a logarithm
• Derivative of an exponential function

Derivatives of circular functions

• Derivative of the sine
• Derivative of the cosine
• Derivative of the tangent

Derivatives of hyperbolic functions

• Derivative of the hyperbolic sine
• Derivative of the hyperbolic cosine
• Derivative of the hyperbolic tangent

Particularities

• Fundamental theorem of calculus
• Holomorphic function
• Differentiable
• Non-differentiable functions
• Inflection point

 

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