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Let f(x) be defined as f(x)={tan^(-1)alp...

Let `f(x)` be defined as `f(x)={tan^(-1)alpha-5x^2,0

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The correct Answer is:
`alpha lt -tan 1`
`f(x)={{:(tan^(-1) alpha-5x^(2),0ltxlt),(-6x,xge1):}`
f(1)=-6
for maximum at x=1
`underset(xrarr1)lim f(x)=tan^(-1)alpha -5lt-6`
or `tan^(-1)alphalt-1 or alpha-tan 1`
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