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Use delta method to find the derivatives...

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

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MODERN PUBLICATION-LIMITS AND DERIVATIVES-EXERCISE
  1. Find the derivatives of the following : (x + sec x) (x -tan x).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Evaluate the following limit : lim(x rarr 0)((1+x)^6-1)/((1+x)^2-1) ...

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  17. Evaluate the following limit : lim(x rarr oo) (ax^2+bx+c)/(dx^2+ ex+...

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

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  19. Evaluate the following limit : lim(x rarr oo)(sqrt(x^2+x+1)- sqrt(x^...

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  20. Let f (x) =(ax+b)/(x+1), lim(x rarr 0)f(x)=2 and lim(x to oo)f(x)=1 , ...

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