InterviewSolution
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InterviewSolution
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If `y=x+e^x ,`then `(d^2x)/(dy^2)`is equal toA. `(1)/((1+e^(x))^(2))`B. `-(e^(x))/((1+e^(x))^(2))`C. `-(e^(x))/((1+e^(x))^(3))`D. `e^(x)` |
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Answer» Correct Answer - C We have, `y=x+e^(x)` `implies" "(dy)/(dx)=1+e^(x)` `implies" "(dx)/(dy)=(1)/(1+e^(2))` `implies" "(d^(2)x)/(dy^(2))=(d)/(dy)((1)/(1+e^(x)))` `implies" "(d^(2)x)/(dy^(2))=-(1)/((1+e^(x))^(2))(d)/(dy)(1+e^(x))` `implies" "(d^(2)x)/(dy^(2))=-(1)/((1+e^(x))^(2))e^(x)(dx)/(dy)=(-e^(x))/((1+e^(x))^(3))` |
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