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If `sqrt(y-x)+sqrt(y+x)=1" then "(d^(3)y)/(dx^(3))` at x=1 is equal toA. 2B. 1C. 0D. Does bot exist |
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Answer» Correct Answer - A `sqrt(y-x)+sqrt(y+x)=1` `y-x+y+x+2sqrt(y^(2)-x^(2))=1` `(2y-1)=-2sqrt(y^(2)-x^(2))` `4y^(2)-4y+1=4y^(2)-4x^(2)" (squaring on both sides)"` `4x^(2)-4y+1=0` `8x-4(dy)/(dx)=0rArr" "(dy)/(dx)=2` `"So, "(d^(2)y)/(dx)=2rArr(d^(3)y)/(dx^(3))=3`. |
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