मराठी

For the substitution \[x=vy\], which differentiated form is correct?

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प्रश्न

For the substitution \[x=vy\], which differentiated form is correct?

पर्याय

  • \[\frac{dx}{dy}=y\frac{dv}{dy}\]

  • \[\frac{dx}{dy}=v+x\frac{dv}{dx}\]

  • \[\frac{dx}{dy}=v+y\frac{dv}{dy}\]

  • \[\frac{dx}{dy}=\frac{dv}{dy}+yv\]

MCQ
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उत्तर

With \[x=vy\], differentiate with respect to \[y\]. The product rule gives \[\frac{dx}{dy}=v+y\frac{dv}{dy}\].

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