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

##### 1 Answer

#### Explanation:

The gradient of the line is found by differentiation

Let

Gradient

Thus the gradient of

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

The gradient of the line that is normal to

So we have

We have a known point

We can determine the value of y by

We now have

So by substitution in equation (2)

Giving