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If (x-a)^2+(y-b)^2=c^2, for some c >0, ...

If `(x-a)^2+(y-b)^2=c^2,` for some `c >0,` `p rov et h a t([1+((dy)/(dx))^2]^(3/2))/((d^2y)/(dx^2))i sacon s t a n tin d e p e n d e n tof` a and b.

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`(x-a)^{2}+(y-b)^{2}=c^{2}, c>0`
Differentiating Eq. (1) w.r.t.` x`, we get
`\frac{d}{d x}[(x-a)^{2}+(y-b)^{2}]=0 `
...
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RD SHARMA-HIGHER ORDER DERIVATIVES-Solved Examples And Exercises
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  11. Find second order derivative of e^xsin5x

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  12. Find second order derivative of e^(6x)cos3x

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  13. Find second order derivative of x^3logx

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  14. Find second order derivative of tan^(-1)x

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  15. Find second order derivative of xcosx

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  16. Find second order derivative of log(logx)

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  17. If y=e^(-x)cosx, show that (d^(2)y)/(dx^(2))=2e^(-x)sinx.

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