वे अन्तराल ज्ञात कीजिए जिनमे `f(x)=sin x+cosx, x in [0,2pi]`
(i) निरन्तर वृद्धिमान
(ii) निरन्तर हासमान है.

if f(x)= sinx + cosx for 0 < x < pi/2

If f(x) = |sin x - cosx| , find f' ( pi//6)

f(x)=1+[cosx]x,"in "0ltxle(pi)/(2)

f(x)=1+[cosx]x,"in "0ltxle(pi)/(2)

f(x)=1+[cosx]x,"in "0ltxle(pi)/(2)

If f'(x)=sinx+sin4x.cosx, then f'(2x^(2)+pi/2) is

Draw the graph of cosx, sin x and tan x in [0, 2pi]

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

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

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]