The value of `a` for which the function `f(x)=asinx+(1/3)sin3x` has an extremum at `x=pi/3` is 1 (b) `-1` (c) 0 (d) 2

Find the range of the function f(x)=(1)/(2+sin3x) .

The number of integer values of k for which the equation sin^(-1)x+tan^(-1)x=2k+1 has a solution is (a)1 (b) 2 (c) 3 (d) 4

If the function f(x)=sin^(-1)(x^(2)-3)" then "x belongs to

Find the local extremum of the function f(x) = x^(3) - 12x

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is 0 (b) 1 (c) 2 (d) infinite

The value of a for which all extremum of function f(x)=x^(3)+3ax^(2)+3(a^(2)-1)x+1 , lie in the interval (-2, 4) is

The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=0 has a real solution is pi/2 (b) -pi/2 (c) 2/pi (d) -2/pi

Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

The period of the function f(x)=c^(sin^2x+(sin(x+pi/3))^2+cosxcos(x+pi/3)) is (where c is constant) 1 (b) pi/2 (c) pi (d) cannot be determined