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Find the derivatives of the following : ...

Find the derivatives of the following :
`x^5 cot x`.

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Find the derivatives of the following : x sin x.

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  2. Find the derivatives of the following : x cosec x.

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  3. Find the derivatives of the following : x^5 cot x.

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  4. Find the derivative of the following (ax^(2) + sin x) (p + q cos x)

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  5. Find the derivatives of the following : (x + cos x) (x- tan x).

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  6. Find the derivatives of the following : (x + sec x) (x -tan x).

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  7. Use delta method to find the derivatives of the following : cos (3x ...

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  8. Use delta method to find the derivatives of the following : cos (x- ...

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  9. Use delta method to find the derivatives of the following : sin (x +...

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  10. Use delta method to find the derivatives of the following : sin x + ...

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  11. Use delta method to find the derivatives of the following : tan 2x.

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  12. Find the derivatives of the following : tan (3x + 1).

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  13. Use delta method to find the derivatives of the following : sec (2x-...

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  14. Find (dy)/(dx) when : y=(x^5-cos x)/(sinx) .

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  15. Find (dy)/(dx) when : y=(x+cos x)/(tanx) .

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  16. Evaluate the following limit : lim(x rarr 1) (x^4-3x^3+2)/(x^3-5x^2+...

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  17. Evaluate the following limit : lim(x rarr 1)(1/(x-1)-(3(x-2))/(x^(3)...

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  18. Evaluate the following limit : lim(x rarr 1)(1/(x^2+x-2)-x/(x^3-1)) ...

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  19. Evaluate the following limit : lim(x rarr 3) (x^3- 7x^(2) + 15x - 9)...

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  20. Evaluate the following limit : lim(x rarr oo) sqrtx/(sqrt(x+sqrt (x+...

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