Grade 12Integral Calculus
Find the values of a for which the function f (x) = cos x - sin x + ax + b is decreasing.
Find the values of a for which the function f (x) = cos x - sin x + ax + b is decreasing.
1 Answer
Arun Kumar
Hello Student,
f'(x)=-sinx-cox+a
Min(-sinx-cosx)= -root(2)=-1.4
Min(-sinx-cosx)= -root(2)=-1.4
f'(x)>a-1.4
f'(x)>0
a-1.4>=0
a in (1.4, inf)
Thanks & Regards
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
Arun Kumar
Btech, IIT Delhi
Askiitians Faculty
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