We have, f(x) = sin x – cos x, 0 < x <2πf’(x)= 0 ⇒ cosx+sinx=0⇒ cosx= -sinx⇒ tan x= -1Now, f’’(x) = cosx – sinxAt is the point of local maximum.At is the point of local minimum.Local maximum value = Local minimum value =

Q. 254.7( 3 Votes )

Find the local ma

Class 12th Mathematics - Board Papers Delhi-2015

Answer :

We have, f(x) = sin x – cos x, 0 < x <2π

f’(x)= 0 ⇒ cosx+sinx=0

⇒ cosx= -sinx

⇒ tan x= -1

Now, f’’(x) = cosx – sinx

is the point of local maximum.

is the point of local minimum.

Local maximum value =

Local minimum value =

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