The number of times the function `y=(x^2+1)^80` to be differentiated to results in a polynomial of degree 50 is

The differential on y of the function y = x^(1/4) is …….

I : The degree of the differential equation of ((d^(3)y)/(dx^(3))) + 4((d^(3)y)/(dx^(2))) = x^(2) log ((d^(2)y)/(dx^(2))) is 2 II : The number of arbitrary constant in the general number of a differential equation is equal to the degree of the differential equation. Which of the above statement is correct.

Let f(x) be the polynomial of degree n, then Delta^(n-1) f(x) is a polynomial of degree.

Give one example of a binomial of degree 50 and a monomial of degree 80.

The number of inflection points of a function given by a third degree polynomial is exactly

Write down the degree of following polynomials in x : 1-x^(2)

Assertion : The degree of the polynomial (x-2)(x-3)(x+4) is 4 . Reason : The number of zeroes of a polynomial is the degree of that polynomial .