`f(x)=cos 2x,` interval `[-pi/4,pi/4]`

f(x)=cos2x, interval [-(pi)/(4),(pi)/(4)]

Number of solutions of equation 16(sin^10x+cos^10x)=29 cos^4 2x in interval [-pi,pi] is

Verify Rolle's theorem for function f(x) = e^x cos x in the interval [-pi/2,pi/2] .

Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing in the interval [0,pi/4] . (ii) is increasing in the interval [pi/4,pi/2] .

Show that the function f(x)=sin^(4) x+ cos^(4) x (i) is decreasing in the interval [0,pi/4] . (ii) is increasing in the interval [pi/4,pi/2] .

On the interval [-(pi)/(4) , (pi)/(4)] , the function f (x) = sqrt(1 + sin^(2) x) has a maximum value of

Verify Rolle's Theorem for the function: f(x) = sin^4 x + cos^4 x in the interval [0,pi/2]

Let f(x) = log (sin x+ cos x), x in x (-pi/4,(3pi)/(4)) Then f is stricly increasing in the interval

which of the following statement is // are true ? (i) f(x) =sin x is increasing in interval [(-pi)/(2),(pi)/(2)] (ii) f(x) = sin x is increasing at all point of the interval [(-pi)/(2),(pi)/(2)] (3) f(x) = sin x is increasing in interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (4) f(x)=sin x is increasing at all point of the interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (5) f(x) = sin x is increasing in intervals [(-pi)/(2),(pi)/(2)]& [(3pi)/(2),(5pi)/(2)]

which of the following statement is // are true ? (i) f(x) =sin x is increasing in interval [(-pi)/(2),(pi)/(2)] (ii) f(x) = sin x is increasing at all point of the interval [(-pi)/(2),(pi)/(2)] (3) f(x) = sin x is increasing in interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (4) f(x)=sin x is increasing at all point of the interval ((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2)) (5) f(x) = sin x is increasing in intervals [(-pi)/(2),(pi)/(2)]& [(3pi)/(2),(5pi)/(2)]