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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 :
`ax^3 + bx^2 + cx + d`

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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. If y = (x^(x^(x)….......to oo)), prove that xdy/dx=y^2/(1-ylogx).

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  2. Find (a) (dy)/(dx) and (b) = (d^2y)/(dx^2) when y is given by : 1+2x

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

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  4. Find (a) (dy)/(dx) and (b) = (d^2y)/(dx^2) when y is given by : 1/(2...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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