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If `y=x+e^x ,`then `(d^2x)/(dy^2)`is equal toA. `e^(x)`B. `-(e^(x))/((1+e^(x))^(3))`C. `-(e^(x))/((1+e^(x))`D. `(e^(x))/((1+e^(x))^(2))` |
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Answer» Correct Answer - B Givne that `y=x+e^(x)` Differentiating w.r.t. x `(dy)/(dx)=1+e^(x)` `rArr" "(dx)/(dy)=(1)/(1+e^(x))` Differentiating w.r.t. y `(d^(2)x)/(dy^(2))=-((1)(e^(x)))/((1+e^(x))^(2)).(dx)/(dy)` `=-(e^(x))/((1+e^(x))^(2)).(1)/((1+e^(x)))=-(e^(x))/((1+e^(x))^(3))` |
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