What is the equation of the normal line of #f(x)= x^8 + 6 e^x # at #x=0#?
We need to find the equation of the normal line.
To find the equation of the line we need two things.
Then the equation can be formed by using the slope point form
We are to find the equation of normal at
Now to find the slope of required equation. For this, we need to find the slope of the tangent. The slope of the tangent is found by finding
Slope of tangent at
The slope of the normal is the negative reciprocal of slope of the tangent.
Slope of normal
Equation of the normal line at