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Find dy/dx if x^y = y^x...

Find `dy/dx` if `x^y` = `y^x`

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MAXIMUM PUBLICATION-MODEL QUESTION-EXAMPLE
  1. Prove that tan^-1 (1/2)+tan^-1(2/11)=tan^-1(3/4)

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  2. (d(a^x))/dx =... a)a^x b)log(a^x) c)a^xlog a d)xa^(x-1)

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  3. Find dy/dx if x^y = y^x

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  4. Find the slope of the tangent to the curve y=(x-2)^2 at x=1

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  5. Find a point at which the tangent to the curve y=(x-2)^2 is parallel t...

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  6. Evaluate int0^2(x^2+1)dx as the limit of a sum

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  7. Consider the following figure Find the point of intersection 'P' of ...

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  8. The degree of the differential equation xy((d^2y)/dx^2)^2+x^4(dy/dx)...

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  9. Find the general solution of the differential equation sec^2xtan ydx...

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  10. Prove that for any vector bar a,barb,barc[bara+barb, barb+barc, barc...

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  11. Show that if bara+barb,barb+barc,barc+bara are coplanar then bar...

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  12. Find the equation of a plane which makes x,y,z intercepts respectively...

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  13. Solve the following LPP Graphically, Minimise, Z=-3x+4y Subject to...

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  14. Find x and y if x[[2],[3]]+y[[-1],[1]]=[[10],[5]]

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  15. Express the matrix [[2,-2,-4],[-1,3,4],[1,-2,-3]] as the sum of a ...

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  16. prove that abs[[a,b,c],[a+2x,b+2y,c+2z],[x,y,z]]=0

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  17. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] Prov...

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  18. if A=[[1,-1,2],[0,2,-3],[3,-2,4]] B=[[-2,0,1],[9,2,-3],[6,1,-2]] ...

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  19. Prove that the function defined by f(x)= cosx^2 is a continuous f...

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  20. if y=e^(a cos^-1x),-1lexle1, show that dy/dx= (-ae^(acos^-1x))/(...

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