Answer :
We have, f(x) = sin x – cos x
Differentiate w.r.t x, we get,
f ‘(x) = cos x + sin x
For, the point of local maxima and minima,
f ’(x) = 0
= cos x = – sin x => tan x = – 1 = x =
Again differentiate w.r.t x
f ’’(x) = – sin x + cos x
f ”= – sin
+ cos
= –
f ”= – sin
+ cos
= –
Therefore, by second derivative test, x = is a point of local maxima and the local maximum of f at x =
is
F” = sin
– cos
=
F” = sin
– cos
=
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