The gradient function of a curve is where is constant.The equation of the normal to the curve at point is ..
a)Find the value of
b)the equation of the curve.
The normal is
Therefore, the gradient of the tangent will be , since the tangent and normal are perpendicular.
So the gradient function at the point has a value of .
Substituting into the derivative gives
Now that you know , you know
Since lies on this curve
Thus the equation of the curve is .