# What is the equation of the line that is normal to #f(x)=-2x^3+4x-2 # at # x=-2 #?

##### 2 Answers

Jan 25, 2018

#### Explanation:

The normal line is perpendicular to the tangent line.

The equation of the normal line is

Jan 25, 2018

#### Explanation:

At x=-2, the y co-ordinate of the point would be

the given point through which the required normal would pass is (-2,6)

Slope of the curve is

The slope of the normal passing through this point would thus be

The point slope form of the required line would be