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Q.

Let f(x)=ex,g(x)=sin−1⁡x and h(x)=f(g(x)) then h′(x)h(x)

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An Intiative by Sri Chaitanya

a

sin−1x

b

11−x2

c

11−x2

d

esin−1x

answer is B.

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Detailed Solution

hx=fgx=esin−1x⇒h'x=esin−1x⋅11−x2⇒h'xhx=11−x2.

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