# What is the equation of the line normal to # f(x)=-(x+6)(x+3)+4x^2-8x+2# at # x=0#?

##### 1 Answer

Mar 27, 2017

#### Explanation:

To find the slope of the normal line, we need to **differentiate to get #f'(x)# ,** then

**plug in zero**to find slope of tangent line at

**find the opposite reciprocal**.

**Differentiate** using the product rule and power rule:

**Plug in zero:**

**Find opposite reciprocal** of tangent line slope to get normal line slope:

**Equation of normal line** (point-slope form):