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Tangent and Normal Lines of Curves

Tangent and Normal Lines of Curves:

From the given definitions; f '(x) is the slope of the tangent line of a curve at a certain point. From the point slope formula, the formula for the tangent line of a curve at a given point is:

y - y0 = f '(x0)(x - x0)

The normal line is the line that is perpendicular to the tangent line of a curve. The formula for normal lines is:

y - y0 = 1/ f '(x0)(x - x0)

(Recall that the product of the slope of perpendicular lines is -1: m1 m2 = -1)

If the function f is differentiable at x , then f is continuos.

 

 

Subject: 
Calculus
Subject X2: 
Calculus

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