If f(x) = 1 + nx + (\frac{n(n-1)}{2}x^2+\frac{n(n-1)(n-2)}{6... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If f(x) = 1 + nx + $\frac{n(n-1)}{2}x^2+\frac{n(n-1)(n-2)}{6}x^3+...+x^n$ then f"(1) =

A

n(n - 1) 2n

B

(n - 1) 2n-1

C

2n-1

D

n(n - 1)2n-2

Answer

n(n - 1)2n-2

Explanation

Solution

The correct answer is (D) : n(n - 1)2n-2.