If y=sec x, prove that y ( d^2 y)/( d x^2)=((d y)/( d x))^2+y^4

Name: If y=sec x, prove that y ( d^2 y)/( d x^2)=((d y)/( d x))^2+y^4
Uploaded: 2024-10-13T11:27:51-08:00
Duration: 2 min 32 s
Channel: Numerade
Description: If y=sec x, prove that y ( d^2 y)/( d x^2)=((d y)/( d x))^2+y^4

Question

If y=sec x, prove that y ( d^2 y)/( d x^2)=((d y)/( d x))^2+y^4

Steven Clarke · Answer

Okay, we are told that y squared equals this function of x, and somehow I want to show the diffe

Raj Bala · Answer

Hello everyone, here d square x by DY square is equal to D by D by Dye for D x by D x by D. This

Raj Bala · Answer

Hello everyone, it is given that y is equal to x into log x by a plus b x. So this implies y by

Rukhmani Jain · Answer

question we are given with y is equal to x log of x by a plus b x okay so we can see it can be w

Rukhmani Jain · Answer

given with x y equals to 4 write it as y equals to 4 by x now differentiate okay so we get d y b

Question

If \( y=\sec x \), prove that \( y \frac{\mathrm{~d}^{2} y}{\mathrm{~d} x^{2}}=\left(\frac{\mathrm{d} y}{\mathrm{~d} x}\right)^{2}+y^{4} \)

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