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Grade: 12

                        

Find the values of a for which the function f (x) = cos x - sin x + ax + b is decreasing

6 years ago

Answers : (2)

Sher Mohammad
IIT Delhi
askIITians Faculty
174 Points
							f'(x)=-sinx-cosx+a <0
the minmum value of -sinx-cosx, occurs at pi/4 = -sqrt(2)=-1.41
a-1.41<0
a<1.41

Sher Mohammad
B.Tech, IIT Delhi
6 years ago
Sher Mohammad
IIT Delhi
askIITians Faculty
174 Points
							
'(x)=-sinx-cox+a
minimum of -sinx-cosx= -sqrt(2)=-1.4


f'(x)>a-1.4
f'(x)>0
a-1.4>=0
a belongs to(1.4, inf)

Sher Mohammad
B.tech, IIT Delhi

6 years ago
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