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A DAS GUPTA-Differentiation-Exercise
- 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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- 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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- Find (dy)/(dx), if y=sin^(-1)[xsqrt(\ 1-x)-\ sqrt(x)\ sqrt(1-x^2)\ ]\
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- "if y"="cos"^(-1)((5"cos" x-12 "sin"x)/(13)), where x in (0,(pi)/(2)...
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- Find dy/dx if y is equal to : (xlogx)^loglog x
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- Find dy/dx if y is equal to : x^(x^x) + (cot 4x)^x
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- Find dy/dx if y is equal to : (tan x)^sin x + (log x )^x
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- Find dy/dx if y is equal to : x^(x^n) +x^(n^x)
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- Find dy/dx if y is equal to : {(tan x)^tan x } at x= pi/4
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- Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...
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- Find dy/dx if : x^sin y +y^cos x =1
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- If y^x+x^y=(x+y)^(x+y) find dy/dx
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- Find (dy)/(dx) if : y= x/(a+ x/(b+ x/(a+ x/(b+ …))))
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- Find dy/dx if : y=(x^(x^x…. to prop))
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- 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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- Find the derivative of f(x)=log(x)sin x^2 + (sin x^2) ^(logex) w.r.t. ...
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- Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))...
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- Find the differentiation of log((1-sqrt(x)))(sin^-1(1-sqrt(x))) with r...
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- If y=sqrt((t-alpha)/(beta-t)) and x=sqrt((t-alpha)(beta-t)) then find ...
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- If x=f(t) and y=phi(t), prove that (d^2y)/(dx^2)=(f1phi2-f2phi1)/(f1^3...
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