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Differentiate ("log"x)/(cos x) with resp...

Differentiate `("log"x)/(cos x)` with respect to 'x'.

Text Solution

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Let `y=("log"x)/(cos x)`
`rArr(dy)/(dx)=(d)/(dx)(("log"x)/(cos x))`
`=(cos x.(d)/(dx)"log"x- "log"x.(d)/(dx)cos x)/(cos^(2)x)`
`=(cos x.(1)/(x)-"log"x(-sinx))/(cos^(2)x)`
`=(cos x+x "log"x sin x)/(x cos^(2)x)`
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NAGEEN PRAKASHAN-LIMITS AND DERIVATIVES-Miscellaneous Exercise
  1. Differentiate ("log"x)/(cos x) 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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