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If x in (0, (pi)/(2))cup((pi)/(2),pi) ...

If `x in (0, (pi)/(2))cup((pi)/(2),pi)` and ` y = sqrt((1 + cos 2 x )/(1 - cos 2 x ))` then find `(dy)/(dx)`.

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The correct Answer is:
`{(-cosec^(2)x," " "when"x in(0,(pi)/(2))),(-(-cosec^(2)x)=cosece^(2)x," " "when" x in((pi)/(2),pi)):} `
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CHHAYA PUBLICATION-DIFFERENTIATION-Example
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  12. If y = (x - 2 )/ (x + 2) , show that 2x * (dy)/(dx) = 1 - y^(2) .

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  16. Find the value of (d)/(dx)[(cos (x - alpha))/(sin x )] .

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  17. If y = 1 + x + (x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+* * * +(x^(n))...

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  18. If y = sqrt(x/(m))+sqrt(m/(x)) show that 2xy (dy)/(dx) = (x)/(m) - ...

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  19. If x in (0, (pi)/(2))cup((pi)/(2),pi) and y = sqrt((1 + cos 2 x )...

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  20. If f(x) = |x|+|x - 1| then find f'(x),

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