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Mark the correct alternative in the following:
Function f(x) = cosx – 2λ x is monotonic decreasing when
Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly decreasing on (a,b) is that f’(x)<0 for all x(a,b)
Given:-
f(x) = cosx – 2λ x
=-sinx-2λ =f’(x)
for decreasing function f’(x)<0
-sinx-2λ <0
Sinx+2λ >0
2λ>-sinx
2λ>1