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Find ( dy)/( dx) " if " x^(4) + x^(2)...

Find ` ( dy)/( dx) " if " x^(4) + x^(2) + x^(2) y^(3) - y^(5) = 2 x + 1 `

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The correct Answer is:
` (2 - 4 x^(3) 2xy ^(3))/( 3 x ^(2) y^(2) - 5 y^(4))`
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NCERT TAMIL-DIFFERENTIAL CALCULUS-DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION -EXERCISE 10.5
  1. Find ( dy)/( dx) " if " x^(4) + x^(2) + x^(2) y^(3) - y^(5) = 2 x +...

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  2. (d)/(dx) ((2)/(x) sin x^(@) ) is

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  3. If y = f (x^(2) + 2) and f' (3) = 5 , then (dy)/( dx) at x = 1 is

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  4. If y = (1)/( 4) u^(4) , u = (2) /(3) x^(3) + 5, " then " (dy)/( dx) i...

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  5. if f (x) = x^(2) - 3x , then the points at which f (x) = f'(x) are

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  6. If y = (1)/( a - z) , " then " (dz)/( dy) is

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  7. If y = cos ( sin x^(2)) , " then " ( dy)/( dx) at x = sqrt( ( pi)/(2)...

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  8. If y = mx + c and f(0) = f' (0) = 1 then f(2) is

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  9. If f (x) = x tan ^(-1) x then f'(1) is

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  10. (d)/(dx) (e^(x + 5 log x)) is

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  11. If the derivative of (ax - 5) e^(3x) at x = 0 is - 13, then the val...

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  12. x = 1( 1 - t ^(2))/( 1 + t^(2)) , y = (2 t)/( 1 + t^(2)) " then " ( dy...

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  13. If x = a sin theta and y= b cos theta " then " ( d^(2) y)/( dx^(2)) i...

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  14. the differential coefficient of log(x) x with respect to log(x) 10 ...

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  15. If f(x) = x + 2 then f' (f(x)) at x = 4 is

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  16. If y = ((1 - x)^(2))/( x^(2)) , then ( dy)/( dx) is

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  17. If pv = 81 , then ( dp)/( dv) at v = 9 is

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  18. If f(x) {{:(x - 5 " if " x le 1 ),(4 x^(2) - 9 " if " 1 lt x lt ...

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  19. It is given that f'(a) exists, then lim(x to a) ( x f (a) - af (x))/(...

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  20. If f (x) = {{:(x = 1", when " x lt 2 ),(2 x - 1", when " x ge 2 ...

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  21. If g (x) = ( x ^(2) + 2x + 3) f (x) and f(0) =5 and lim(x to 0) ( f (...

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