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If x^(m)*y^(n)=(x+y)^(m+n)," then: "(dy)...

If `x^(m)*y^(n)=(x+y)^(m+n)," then: "(dy)/(dx)` is independent of

A

`(x)/(y)`

B

`(y)/(x)`

C

`(x+y)/(xy)`

D

xy

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -Questions from Previous Years. AIEEE/JEE Main Papers
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  2. The set of points where f(x)=(x)/(1+|x|) is differentiable is

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  3. If x^(m)*y^(n)=(x+y)^(m+n)," then: "(dy)/(dx) is independent of

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  4. Let f:R to R be a function defined by f(x) = min {x+1,|x|+1}. Then whi...

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  5. Let f(x)={{:((x-1)sin((1)/(x-1))",",,"if "x ne 1),(0,,"if "x =1):} T...

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  6. Let y be an implicit function of x defined by x^2x ""2x^xcoty""""1""="...

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  7. Let f:(-1,1)to R be a differentiable function with f(0)=-1 and f'(0)=1...

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  8. (d^(2)x)/(dy^(2)) equals

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  9. If function f(x) is differentiable at x = a than underset(x to a)lim""...

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  10. Consider the function, f(x)=|x-2|+|x-5|,x in R Statement 1: f'(4)=0 ...

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  11. Let f be a differentiable function such that 8f(x)+6f((1)/(x))-x=5(x n...

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  12. For a gt 0, t in (0, (pi)/(2)), let x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(co...

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  13. If y=sec(tan^(-1)x), then (dy)/(dx)|(x=1) is equal to

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  14. Let f(x)=(x^(2)-x)/(x^(2)+2x),x ne 0,-2. Then (d)/(dx)(f^(-1)(x)) (whe...

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  15. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

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  16. Let f(x)=x|x|, g(x)=sin x and h(x)=go f(x). Then

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  17. If f(x)=x^(2)-x+5,x gt (1)/(2), and g(x) is its inverse function, then...

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  18. Let f:R to R be function such that |f(x)|le x^(2) for all x in R. Than...

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  19. If y=e^(nx), then ((d^(2)y)/(dx^(2)))(d^(2)x)/(dy^(2)) is equal to

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  20. If the function g(x)={{:(k sqrt(x+1)",",,0 le x le 3),(mx+2",",,3lt x ...

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