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d/(dx){(sinx)^(logx)} is equal to..........

`d/(dx){(sinx)^(logx)}` is equal to..........

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BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If x^y=y^x , then (dy)/(dx) is equal to......

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  2. If y=sqrt(x+sqrt(x+sqrt(x+ tooo))) , then (dy)/(dx) is equal to.....

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  3. d/(dx){(sinx)^(logx)} is equal to..........

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  4. The differential equation satisfied by the function y=sqrt(sinx+sqr...

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  5. Find the (dy)/(dx) of y=cot^(-1)((1+x)/(1-x))

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  6. Find the (dy)/(dx) of y=tan^(-1)sqrt((1-cosx)/(1+cosx))

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  7. Find the (dy)/(dx) of y=cos^(-1)sqrt((1+cosx)/2)

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  8. Find the (dy)/(dx) of y=tan^(-1)((sqrt(a)-sqrt(x))/(1+sqrt(a x)))

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  9. Find the (dy)/(dx) of y=cot^(-1)(x^2)

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  10. Find the (dy)/(dx) of y=tan^(-1)((sqrt(x)-x)/(1+x^(3//2)))

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  11. Find the (dy)/(dx) of y=cos^(-1)sqrt((1+x^2)/2)

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  12. Find the (dy)/(dx) of y=tan^(-1)((a x-b)/(b x+a))

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  13. Find the differentiation of y=tan^(-1)sqrt((1+cosx/2)/(1-cosx/2))

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  14. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

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  15. Find the differentiation of y=tan^(-1)((acosx-bsinx)/(bcosx+asinx))

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  16. Find the differentiation of y=tan^(-1)(secx+tanx)

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  17. Find the differentiation of y=cos^(-1)sqrt(cosx)

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  18. Using a suitable substitution, find the derivative of tan^-1 ((4sqrt(x...

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  19. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

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  20. Find the differentiation of y=tan^(-1)((x^(1//3)+a^(1//3))/(1-x^(1//3)...

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