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Derivatives

Learn the concept of a derivative function, studying applications (mathematical and physical) for better understanding and practice with the calculation of derivatives of all types of functions.

• Concavity and convexity
• Derivative at a point
• Derivative of a constant function
• Derivative of a power
• Derivative of exponential, logarithmic and a pow x function
• Derivative of the division of two functions
• Derivative of the linear function
• Derivative of the multiplication of two functions
• Derivative of the sum of two functions
• Derivative of trigonometric functions
• Detection of elementary functions
• Differentiability and its relation with continuity
• Geometric interpretation of the derivative
• Increasing and decreasing functions
• Increasing and decreasing intervals
• Maximun, minimum and inflection points of a function
• Normal straight line to a curve at a point
• Optimitzation
• Partial derivatives
• Physical interpretation of the derivative
• Tangent straight line to a curve at a point
• The Derivative function
• The average change