Math Problem Solver

Using Lagrange mean value theorem or otherwise, show that on the graph of any quadratic polynomial the chord joining the points for which 𝑥=𝑎 and 𝑥=𝑏 is parallel to the tangent line at the mid point 𝑥 = 𝑎+𝑏/2. Plot the graph of function and its tangent line through sagemath to justify the statement by choosing points 𝑎 and 𝑏 of your choice.