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Let f be the real valued differentiable function on R such that e^(-x)f(x)=3/(e^(2))+4e^(-x) int_(2)^(x) sqrt(2t^(2)+6t+5)dt AA x in R and let g(x)=f^(-1) (x) then [g^(')(3)]+[|g^('')(3)|] is equal to _____ (where [.] denote the greatest integer function) |
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Answer» So, `g^(')(f(x)).f^(')(x)=1` `g^('')=(f(x))=-(f^('')(x))/((f^(')(x))^(3))` So, `g^(')(3)=1/23` and `g^('')(3)=(-43)/(5(23)^(3))` |
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