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Find (a) (dy)/(dx) and (b) = (d^2y)/(dx^...

Find (a) `(dy)/(dx) and (b) = (d^2y)/(dx^2)` when y is given by :
`e^x + x^4`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. Find (a) (dy)/(dx) and (b) = (d^2y)/(dx^2) when y is given by : log ...

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  2. Find (a) (dy)/(dx) and (b) = (d^2y)/(dx^2) when y is given by : e^x ...

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  3. Find (a) (dy)/(dx) and (b) = (d^2y)/(dx^2) when y is given by : e^x ...

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  4. Find the second derivative of the following functions: x^20

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  5. Find the second derivative of the following functions: x^2 + 3x +2

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  6. Find the second order derivative of the function x.cosx

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  7. Find the second derivative of the following functions: x^3 + tanx

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  8. Find the second derivative of the following functions: tan^-1x

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  9. Find the second derivative of the following functions: logx

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  10. Find the second order derivative of the following functions x^3 log ...

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  11. Find the second derivative of the following functions: log(logx)

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  12. Find the second derivative of the following functions: sin(logx)

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  13. Find the second derivative of the following functions: e^x sin 5x

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  14. Find the second derivative of the following functions: e^(6x) cos 3x

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  15. Find the second derivative of the following functions: e^(-x) cos x

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  16. Find the second derivative of the following functions: tan x + sec x

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  17. Find the second derivative of the following functions: (logx)/x

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  18. Find the second derivative of the following functions: x^x

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  19. If y = sin^-1x, then show that (1-x^2)(d^2y)/(dx^2)- x dy/dx = 0

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  20. If y = sin^-1 x, show that : (1-x^2) d^2y/dx^2- x dy/dx=0

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