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Differentiate (e^(x)+cot x)/(tan x-x^(n)...

Differentiate `(e^(x)+cot x)/(tan x-x^(n))` with respect to 'x'.

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To differentiate the function \( y = \frac{e^x + \cot x}{\tan x - x^n} \) with respect to \( x \), we will use the quotient rule of differentiation. ### Step-by-Step Solution: 1. **Identify the function**: Let \( u = e^x + \cot x \) and \( v = \tan x - x^n \). 2. **Apply the Quotient Rule**: ...
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NAGEEN PRAKASHAN ENGLISH-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Differentiate (e^(x)+cot x)/(tan x-x^(n)) with respect to 'x'.

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  2. Find the derivative of the following functions from first principles:...

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  3. Find the derivative of the following functions (it is to be understand...

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  4. Find the derivative of the following functions (it is to be understand...

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  5. Find the derivative of the following functions (it is to be understand...

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  6. Find the derivative of the following functions (it is to be understand...

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  7. Find the derivative of the following functions (it is to be understand...

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  8. Find the derivative of the following functions (it is to be understand...

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  9. Find the derivative of the following functions (it is to be understand...

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  10. Find the derivative of the following functions (it is to be understand...

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  11. Find the derivative of the following functions (it is to be understand...

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  12. Find the derivative of the following functions (it is to be understand...

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  13. Find the derivative of the following functions (it is to be understand...

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  14. Find the derivative of the following functions (it is to be understand...

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  15. Find the derivative of the following functions (it is to be understand...

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  16. Find the derivative of the following functions (it is to be understand...

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  17. Find the derivative of the following functions (it is to be understand...

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  18. Find the derivative of the following functions (it is to be understand...

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  19. Find the derivative of the following functions (it is to be understand...

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  20. Find the derivative of the following functions (it is to be understand...

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  21. Find the derivative of the following functions (it is to be understand...

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