# What is the equation of the normal line of #f(x)=sqrt(e^x-x+1)/e^(2x)# at #x = 0#?

##### 1 Answer

Sep 27, 2016

The slope of the tangent line is the first derivative evaluated at the the given x coordinate. The slope of the normal line is the negative of the reciprocal of the slope of the tangent line.

#### Explanation:

Compute the first derivative:

Evaluate at x = 0:

The slope of the normal line is:

Given

Using the slope-intercept form of the equation of a line: