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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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