Question

Find the equation of the normal to the curve
$y = x^{3} + 2x + 6$
which are parallel to the line
$x + 14y + 4 = 0$

Answer 1

differentiate the first equation we will get the differential equation which gives the slope of tangent as normal and tangent are perpendicular to each other use this property and then substitute the value of slope obtained from second equation which will give equation of Normal