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

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

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A DAS GUPTA-Differentiation-Exercise
  1. Find dy/dx if y is equal to : x^(x^x) + (cot 4x)^x

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If x=costheta,ysin^3theta,"p r o v et h a t" y(d^2y)/(dx^2)+((dy)/(...

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  18. If x = 2 cos t - cos 2t , y = 2 sin t - sin 2t, then the value of ...

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  19. Find (dx)/(dt) when x = sin^-1(t.sqrt(1-t) +sqrt(t) sqrt(1-t^2)).

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  20. If x^(2)+y^(2)=t andx^(4)+y^(4)=t^(2)+(1)/(t^(2)), then prove that (dy...

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