# What is the equation of the line normal to #f(x)= -1/(5-x^2) # at #x=-3#?

##### 1 Answer

Jun 18, 2016

Equation of line normal is

#### Explanation:

Slope of the tangent of a curve, at a given point, is given by the value of the first derivative at that point. As normal is perpendicular to tangent, if

To find the point, let us put

Hence, we are seeking normal at

Hence slope of tangent at

and slope of normal is

and equation of line normal is

or