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

You visited us 26 times! Enjoying our articles? Unlock Full Access!

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

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Always non-zero

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Equal to

2 y^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Equal to

x^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

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}}

Join BYJU'S Learning Program