The point of inflexion for the curve y=(x-a)^n , where n is odd integer and n 3 is

Step-by-step solution

Here d^2 y d x^2 =n(n-1)(x-a)^ n-2 Now, d^2 y d x^2 =0 x=a Differentiating equation of the curve n times, we get, d^n y d x^n =n ! at x=a, d^n y d x^n 0 and d^ n-1 y d x^ n-1 =0 , where n is odd. Therefore (a, 0) is the point of inflexion