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(i)Find the interval in which the functi...

(i)Find the interval in which the function `f(x) = sin(Inx)-cos(Inx)` is strictly increasing.
(ii) For what values of 'a' the point of local minima of `f(x) = x^(3) - 3ax^(2) + 3(a^(2) - 1)x+1` is less than 4 and point of local maxima is greater than -2.

Text Solution

Verified by Experts

The correct Answer is:
(i) `xin(e^(2npi-pi/4)`, `e ^(2npi+3pi/4), n in 1`.
(ii) `-1 lt a lt 3`
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