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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
- Let U=sin^(-1)((2x)/(1+x^2)) and V=tan^(-1)((2x)/(1-x^2)) , then (d U)...
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- d/ dx { tan^ −1 ( cosx/ (1+sinx) ) } equals (a)1...
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- d/(dx)[log{e^x((x-2)/(x+2))^(3//4)}] equals (a) (x^2-1)/(x^2-4) (b...
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- If y=sqrt(sinx+y) , then (dy)/(dx)= (a)(sinx)/(2y-1) (b) (sinx)/(...
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- If 3sin(x y)+4cos(x y)=5 , then (dy)/(dx)= (a) y/x (b) (3sin(x y)+4...
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- If siny=xsin(a+y) , then (dy)/(dx) is (a)(sina)/(sina sin^2(a+y)) (...
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- The derivative of cos^(-1)(2x^2-1) with respect to cos^(-1)x is (a) ...
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- If f(x)=sqrt(x^2+6x+9) , then f^(prime)(x) is equal to (a) 1 for x<-3 ...
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- If f(x)=|x^2-9x+20| , then f^(prime)(x) is equal to (a) -2x+9 for all ...
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- If f(x)=sqrt(x^2-10 x+25) , then the derivative of f(x) in the inte...
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- If f(x)=|x-3| and g(x)=fof\ (x) , then for x > 10 , g^(prime)(x) is eq...
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- If f(x)=((x^l)/(x^m))^(l+m)((x^m)/(x^n))^(m+n)((x^n)/(x^l))^(n+l) , th...
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- If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)...
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- If sqrt(1-x^6) then find dy/dx
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- If y=logsqrt(tanx) , then the value of (dy)/(dx) at x=pi/4 is given by...
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- If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga then (dy)/(dx) is equal to (a)...
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- If siny=xcos(a+y) , then (dy)/(dx) is equal to (a)(cos^2(a+y))/(cosa...
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- If y=log((1-x^2)/(1+x^2)) , then (dy)/(dx)= (a)(4x^3)/(1-x^4) (b) -(4...
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- If y=sqrt(sinx+y) , then (dy)/(dx) equals (a)(cosx)/(2y-1) (b) (cosx)/...
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- If y=tan^(-1)((sinx+cosx)/(cosx-sinx)) , then (dy)/(dx) is equal to (a...
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