Home
Class 12
MATHS
f(x) = sin ^m x cos ^nx has maximum val...

`f(x) = sin ^m x cos ^nx ` has maximum value at x=

A

`Tan ^(-1)sqrt(m//n)`

B

`m//n`

C

mn

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-1 (SPECIAL TYPE QUESTIONS)|14 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET-2 (SPECIAL TYPE QUESTIONS)|11 Videos
  • APPLICATIONS OF DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D (MEAN VALUE THEOREMS)|28 Videos
  • ADDITION OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 4|8 Videos
  • BINOMIAL THEOREM

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

Show that f(x) = sin^(m)x. cos^(n)x has maximum value at x = Tan^(-1) sqrt((m)/(n)) (m, n gt 0) .

f(x) = sin x(1+ cos x) has maximum value at x=

The function f(x) = a sin x +1/3 sin 3x has maximum value at x=pi/3 . The value of a is

For what values of k, f(x) = x-(k)/(x) has a maximum value at x = -2.

If f(x) =x-k/x has a maximum value at x=-2 , then k=

If sqrt(3) sin x + cos x is maximum , then x

The value of 'a' for which the function f(x) = a sin x+1/3 sin 3x has an extremum at x=pi//3 is

Theorem : Let f(x)=ax^(2)+bx+c be a quadratic function. If a lt 0 then f(x) has maximum value at x=(-b)/(2a) and the maximum value =(4ac-b^(2))/(4a)