Let f(x)=\log _{e}(\sin x),(0 < x < \\pi) g(x)=\sin ^{-1} (e^{-x} ),(x \\geq 0).if \alpha is a positive real number such that a a=(f o g) '(\\alpha) b=(f o g)(\\alpha) ,then: [10 Apr 2019 Shift 2]

Correct Answer is : aα2−bα−a=1

a \\alpha^{2}+b \\alpha-a=-2\alpha^{2}

Differentiation

Section: Mathematics

Question : 55 of 78

Marks: +1, -0

Let

f(x)=loge(sin‌x),(0<x<π)g(x)=sin−1 (e−x ),(x≥0)

.if α is a positive real number such that a a=(fog)′(α)b=(fog)(α) ,then:

[10 Apr 2019 Shift 2]

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