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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.

Grade:11

1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
7 years ago
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

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