Question

The function y = (x2 + 1)50 is differentiated 70 times to get y70(x). Theny70(x) is a polynomial of degree is equal to

Solution

Correct option is

30

Note that y is a polynomial of degree 100 and differentiation one reduce the degree by one. Hence if y is differentiated 70 times it will result in a polynomial of degree 30.

SIMILAR QUESTIONS

Q1

If f : R  R is a function such that (x) = x3 + x2 f’(1) + xf’’(2) + f’’’(3) for x Ïµ R then the value of f (2) is

Q2

 and n are integers, m ≠ 0, n > 0, and let p be the left hand derivative of |x – 1| at x = 1. If 

Q3

If f (x) = |x – 2| and g(x) = f (f (x)), then for x > 20, g’(x) is equal to

Q4

If f (9) = 9 and f’(9) = 4, then 

Q5

The derivatives of sec –1 [1/(2x2 – 1)] with respect to  at x = ½, is

Q6

Let F(x) = f(xg(xh(x) for all real x, where f(x), g(x) and h(x) are differentiable functions. At some point x0,  

                 

                   

Q7

If the function  then the value ofg’(1) is

Q9
Q10

Let f(x + y) = f(xf(y) for all xy Ïµ R and suppose that is differentiable at 0 and f’(0) = 4. If f(x0) = 8 then f’(x0) is equal to