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If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga th...

If `sin^(-1)((x^2-y^2)/(x^2+y^2))=loga` then `(dy)/(dx)` is equal to
(a)`(x^2-y^2)/(x^2+y^2)` (b) `y/x` (c) `x/y` (d) none of these

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Let U=sin^(-1)((2x)/(1+x^2)) and V=tan^(-1)((2x)/(1-x^2)) , then (d U)...

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  2. d/ dx { tan^ −1 ( cosx/ (1+sinx) ) } equals (a)1...

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  3. d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (a) (x^2-1)/(x^2-4) (b...

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  4. If y=sqrt(sinx+y) , then (dy)/(dx)= (a)(sinx)/(2y-1) (b) (sinx)/(...

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  5. If 3sin(x y)+4cos(x y)=5 , then (dy)/(dx)= (a) y/x (b) (3sin(x y)+4...

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  6. If siny=xsin(a+y) , then (dy)/(dx) is (a)(sina)/(sina sin^2(a+y)) (...

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  7. The derivative of cos^(-1)(2x^2-1) with respect to cos^(-1)x is (a) ...

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  8. If f(x)=sqrt(x^2+6x+9) , then f^(prime)(x) is equal to (a) 1 for x<-3 ...

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  9. If f(x)=|x^2-9x+20| , then f^(prime)(x) is equal to (a) -2x+9 for all ...

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  10. If f(x)=sqrt(x^2-10 x+25) , then the derivative of f(x) in the inte...

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  11. If f(x)=|x-3| and g(x)=fof\ (x) , then for x > 10 , g^(prime)(x) is eq...

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  12. If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , th...

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  13. If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...

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  14. If sqrt(1-x^6) then find dy/dx

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  15. If y=logsqrt(tanx) , then the value of (dy)/(dx) at x=pi/4 is given by...

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  16. If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga then (dy)/(dx) is equal to (a)...

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  17. If siny=xcos(a+y) , then (dy)/(dx) is equal to (a)(cos^2(a+y))/(cosa...

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  18. If y=log((1-x^2)/(1+x^2)) , then (dy)/(dx)= (a)(4x^3)/(1-x^4) (b) -(4...

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  19. If y=sqrt(sinx+y) , then (dy)/(dx) equals (a)(cosx)/(2y-1) (b) (cosx)/...

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  20. If y=tan^(-1)((sinx+cosx)/(cosx-sinx)) , then (dy)/(dx) is equal to (a...

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