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If g is the inverse of a function f and f′(x)=11+x5 then g′(x) is equal to

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a

11+gx5

b

1+gx5

c

1+x5

d

5x4

answer is B.

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Detailed Solution

g is the inverse of f⇒fogx=x⇒fog'x=1⇒f'gxg'x=1⇒g'x=1f'gx=1+gx5

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