Home
Class 12
MATHS
Let f(x) = (x - 1)^(4) (x - 2)^(n), n in...

Let `f(x) = (x - 1)^(4) (x - 2)^(n), n in N`. Then f(x) has a)a maximum at x = 1 if n is odd. b)a maximum at x = 1 if n is even c)a minimum at x = 1 if n is even d)a minima at x = 2 if n is even

A

a maximum at x = 1 if n is odd.

B

a maximum at x = 1 if n is even

C

a minimum at x = 1 if n is even

D

a minima at x = 2 if n is even

Text Solution

Verified by Experts

The correct Answer is:
A, C, D
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x)=(x-2)(x-4)(x-6)...(x-2n), then f'(2) is -

The function f(x) = (x^(2) - 4)^(n) (x^(2) - x + 1), n in N assumes a local minima at x = 2 then a)n can be any odd number b)n can only be a odd prime number c)n can be any even number d)n can only be a multiple of 4

If f((x +1)/(2x-1)) = 2x, x in N , then the value of f(2) is equal to

Show that f : N rarr N given by f(x) = { ((x +1), if x is odd), ((x - 1), if x is even) :} is both one-one and onto.

Let (1+x)^(n) = 1+a_(1)x + a_(2)x^(2) + ……+ a_(n)x^(n) . If a_(1), a_(2) and a_(3) are in AP, then the value of n is

If (dx)/(x^(2)(x^(n)+1)^((n-1)//n))=-[f(x)]^(1//n)+c , then f(x) is

Let f:WrarrW be defined as f(n) = n-1 if n is odd and f(n) = n+1 if n is even. Show that f is invertible. Find the inverse of f. Here W is the set of all whole numbers.

int(x^(n-1))/(x^(2n)+a^(2))dx is equal to