1.

यदि `y=1/(3x^(3)),` का दर्शाये कि `3y+x(dy)/(dx)=0`.

Answer» `y=(1)/(3x^(3))` ...(i)
या `y=(1)/(3)x^(-3)`
`:. (dy)/(dx)=(1)/(3)(-3)x^(-3-1)`
`=-(1)/(x^(4))=-(1)/(x^(3))(1)/(x)`
`=-(3y)/(x)` [समीकरण (i ) से ]
`3y+x(dy)/(dx)=0` (यही दिखाना था )


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