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Find (a)dy/dxand(b)(d^(2)y)/(dx^(2)) whe...

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

Text Solution

Verified by Experts

The correct Answer is:
`(a)dy/dx=2" "(b)(d^(2)y)/(dx^(2))=0`
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MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE 5(k) (SHORT ANSWER TYPE QUESTIONS)
  1. Find (a)dy/dxand(b)(d^(2)y)/(dx^(2)) when y is given by : 1 + 2x.

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

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  3. Find (a)dy/dxand(b)(d^(2)y)/(dx^(2)) when y is given by : 1/(2x+3),x...

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  4. Find (a)dy/dxand(b)(d^(2)y)/(dx^(2)) when y is given by : logx-x

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  5. Find (a)dy/dxand(b)(d^(2)y)/(dx^(2)) when y is given by : e^(x)+x^(4...

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  6. Find the second derivatives of the following functions : x^(20)

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  7. Find the second derivatives of the following functions : x^(2)+3x+2

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  8. Find the second derivatives of the following functions : xcosx

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  9. Find the second derivatives of the following functions : x^(3)+tanx

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  10. Find the second derivatives of the following functions : logx

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  11. Find the second derivatives of the following functions : x^(3)logx

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  12. Find the second derivatives of the following functions : log(logx)

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  13. Find the second derivatives of the following functions : sin(logx)

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  14. Find the second derivatives of the following functions : e^(x)sin5x

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  15. Find the second derivatives of the following functions : e^(6x)cos3x

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  16. Find the second derivatives of the following functions : e^(-x)cosx

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  17. Find the second derivatives of the following functions : tanx+secx

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  18. Find the second derivatives of the following functions : (logx)/x

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  19. Find the second derivatives of the following functions : x^(x)

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