Find a point on the curvey y = (x - 3)^{2}, where the tangent is parallel to the chord joining the points (3,0) and (4,1).
We have, y = (x-3)^{2}, which is polynomial function .So it is continuous and differentiable .Thus condition of mean value theorem are satisfied.Hence, there exists atleast one c ∈ (3,4) such that ,