अन्तराल ज्ञात कीजिए जिनमे दिया गया फलन f(x)=sin3x,x in[0,(pi)/(2)] में (i ) वृद्धिमान (ii ) हासम...

If f(x)=sin x/ e^(x) in [0,pi] then f(x)

f:[-3 pi,2 pi]f(x)=sin3x

f(x)=1+2sin x+3cos^(2)x,0<=x<=(2 pi)/(3)

Find the intervals in which f(x) = sin 3x, x in [0,pi/2] is (i) increasing, (ii) decreasing.

Let f'(sin x) 0AA x in(0,(pi)/(2)) and g(x)=f(sin x)+f(cos x), then

If f'(x)=k(cos x-sin x),f'(0)=3 and f((pi)/(2)) find f'(x)

If f'(x)=a sin x+b cos x and f'(0)=4,f(0)=3,f((pi)/(2))=5f(x)

Verify Rolle's theorem for each of the following functions: (i) f(x) = sin 2x " in " [0, (pi)/(2)] (ii) f(x) = (sin x + cos x) " in " [0, (pi)/(2)] (iii) f(x) = cos 2 (x - (pi)/(4)) " in " [0, (pi)/(2)] (iv) f(x) = (sin x - sin 2x) " in " [0, pi]