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If f(x)=x+log|x|, x!=0 find f'(x)....

If `f(x)=x+log|x|, x!=0` find `f'(x).`

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A DAS GUPTA-Differentiation-Exercise
  1. Find the derivatives w.r.t x at the indicated points : |cos x| at x=(...

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  2. Find the derivatives w.r.t x at the indicated points : sin(log x) at ...

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  3. If f(x)=x+log|x|, x!=0 find f'(x).

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  4. If y=2/(sqrt (a^2-b^2)) tan ^-1 [(sqrt( a-b)/(a+b)) tan x/2], show tha...

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  5. Show that y= Asin x + Bcos x + xsin x is a solution of differential eq...

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  6. Show that, v = A/r + B satisfies the differential equation (d^2v)/(dr...

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  7. If y=(ax^2)/((x-a)(x-b)(x-c))+(bx)/((x-b)(x-c))+c/(x-c)+1 then (y prim...

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

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

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

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

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

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

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

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

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

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

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

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

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