1.

Let g be the inverse function of f and f '(x) = (x^(10))/(1+x^(2)) if g(2) = a then g'(2) is equal to:

Answer»

`(a)/(2^(10))`
`(1+a^(2))/(a^(10))`
`(a^(10))/(1+a^(2))`
`(1+a^(10))/(a^(2))`

SOLUTION :`f(g(x))=x`
`RARR f'(g(x)).g'(x)=1`
`rArr g'(x)=(1)/(f'(g(x)))=(1+(g(x))^(2))/((g(x))^(10))`
`rArr g'(2)=(1+(g(2))^(2))/((g(2))^(10))`


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