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Find the value of `a` for which the function f(x)=cos(x)-sin(x)+a(x)+b is decreasing.

Find the value of `a` for which the function f(x)=cos(x)-sin(x)+a(x)+b is decreasing.

Grade:12

1 Answers

Sunil Raikwar
askIITians Faculty 45 Points
9 years ago
we know that f(x) is decreasing for all real values of x if f'(x)<0
f'(x)=-cosx-sinx+a<0
a<sinx+cosx
minimum value of sinx+cosx is -root2
so a should be less than -root2

Thanks & Regards
Sunil Raikwar
askIITians Faculty


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