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"if y"="cos"^(-1)((5"cos" x-12 "sin"x)/(...

`"if y"="cos"^(-1)((5"cos" x-12 "sin"x)/(13)),` where
`x in (0,(pi)/(2)) , " then "(dy)/(dx) " is"-`

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A DAS GUPTA-Differentiation-Exercise
  1. If y=sqrt (a^2-x^2)+a/2 log ((a-sqrt(a^2-x^2))/(a+sqrt(a^2-x^2))), the...

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  2. Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\

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  3. "if y"="cos"^(-1)((5"cos" x-12 "sin"x)/(13)), where x in (0,(pi)/(2)...

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  4. Find dy/dx if y is equal to : (xlogx)^loglog x

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  5. Find dy/dx if y is equal to : x^(x^x) + (cot 4x)^x

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  6. Find dy/dx if y is equal to : (tan x)^sin x + (log x )^x

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  7. Find dy/dx if y is equal to : x^(x^n) +x^(n^x)

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  8. Find dy/dx if y is equal to : {(tan x)^tan x } at x= pi/4

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  9. Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...

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  10. Find dy/dx if : x^sin y +y^cos x =1

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  11. If y^x+x^y=(x+y)^(x+y) find dy/dx

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  12. Find (dy)/(dx) if : y= x/(a+ x/(b+ x/(a+ x/(b+ …))))

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  13. Find dy/dx if : y=(x^(x^x…. to prop))

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  14. If sqrt(1-x^4)+sqrt(1-y^4)=k(x^2-y^2), prove that dy/dx=(xsqrt(1-y^4)...

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  15. Find the derivative of f(x)=log(x)sin x^2 + (sin x^2) ^(logex) w.r.t. ...

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  16. Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...

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  17. Find the differentiation of log((1-sqrt(x)))(sin^-1(1-sqrt(x))) with r...

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  18. If y=sqrt((t-alpha)/(beta-t)) and x=sqrt((t-alpha)(beta-t)) then find ...

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  19. If x=f(t) and y=phi(t), prove that (d^2y)/(dx^2)=(f1phi2-f2phi1)/(f1^3...

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  20. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

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