For any differentiable function y - f x the value of d2ydx2 - dydx3d2xdy2 is-

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Solving Inequalities

For any diffe...

Question

For any differentiable function $y = f (x)$ the value of $\frac{d^{2} y}{d x^{2}} + {(\frac{d y}{d x})}^{3} \frac{d^{2} x}{d y^{2}}$ is:

Always zero

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Always non-zero

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Equal to

2 y^{2}

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Equal to

x^{2}

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Solution

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Similar questions

y = e^{tan x},

({cos}^{2} x) \cdot y_{2} =

(where y_{2} = \frac{d^{2} y}{d x^{2}}, y_{1} = \frac{d y}{d x})

m

c

y = m x + c

D^{2} y + 3 D y + 4 y = 4 x

(D^{2} y = \frac{d^{2} y}{d x^{2}}, D y = \frac{d y}{d x})

y = f (x)

\frac{d^{2} y}{d x^{2}} + {(\frac{d y}{d x})}^{3} \frac{d^{2} x}{d y^{2}}

y = f (x)

\frac{d^{2} x}{d y^{2}} = - {(\frac{d y}{d x})}^{- 3} \frac{d^{2} y}{d x^{2}}

y = f (x)

x

\frac{d^{2} x}{d y^{2}} = - {(\frac{d y}{d x})}^{- 3} . \frac{d^{2} y}{d x^{2}}

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