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 Geometrical sense of a derivative
 
 

Derivative of functions y=f(x) in a point х0 is equal to a tangent of a corner of an inclination of the tangent which has been carried to the diagram function in this point.

The equation of a tangent to a curve.
It is possible to write it, knowing a point through which it passes, and angular factor

k=f ′ (x0)

y = f(x0)=f ′ (x0) - (x - x0)

Where x and y - coordinates of a point on a tangent.

The equation of a normal. It is possible to write it, knowing a point through which it passes also angular factor








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