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Differentiation question

2019 · 10 Apr · Shift 2 · Q23

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PYQ Library
JEE Main
Mathematics
Differentiation
2019 · 10 Apr · Shift 2 · Q23

Differentiation question

2019 · 10 Apr · Shift 2 · Q23

JEE MainMathematicsDifferentiationMCQ+4 / −1

Let f(x) = loge(sin x), (0 < x <

\pi

) and g(x) = sin–1 (e–x ), (x

\ge

0). If

\alpha

is a positive real number such that a = (fog)'(

\alpha

) and b = (fog)(

\alpha

), then :

A
a $\alpha$ 2 + b $\alpha$ - a = -2 $\alpha$ 2
B
a $\alpha$ 2 + b $\alpha$ + a = 0
C
a $\alpha$ 2 - b $\alpha$ - a = 0
D
a $\alpha$ 2 - b $\alpha$ - a = 1

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