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RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
- If d/(dx){x^n-a1x^(n-1)+a2x^(n-2)++(-1)^n an}e^x=x^n e^x , then the va...
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- If x=f(t) and y=g(t), then (d^2y)/(dx^2) is equal to
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- Let f(x) be a polynomial.Then, the second order derivative of f(e^x) ...
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- If y=tan^-1((log(e/x^2))/(log(ex^2)))+tan^-1((3+2logx)/(1-6logx)), the...
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- If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xy(x)= 1 (b...
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- If f(x)=(cosx+isinx)(cos2x+isin2x)(cos3x+isin3x)......(cosn x+isinn x)...
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- (d^(20))/(dx^(20))(2cosxcos3x)is equal to (a)2^(20)(cos2x-2^(20)cos3x...
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- If x=acosn t-bsinn t ,t h e n(d^2x)/(dt^2) is n^2x (b) -n^2x (c) -n ...
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- Find order & degree of equation xy ((d^2y)/dx^2)+x(dy/dx)^2-y(dy/dx)=0...
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- In (dy)/(dx),x is a independent variable and y is the dependent variab...
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- If y^2=a^2cos^2x+b^2sin^2x ,t h e np rov et h a t(d^2y)/(dx^2)+y=(a^2b...
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- If y=sin^(-1)x , show that (d^2y)/(dx^2)=x/((1-x^2)^(3//2))
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- If y=Acosn x+Bsinn x , show that (d^2y)/(dx^2)+n^2\ y=0 .
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- If y=A e^(m x)+B e^(n x) , show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n ...
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- If y=Acos(logx)+\ Bsin(logx) , prove that x^2\ (d^2y)/(dx^2)+x(dy)/(dx...
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- If y=tanx+secx , prove that (d^2y)/(dx^2)=(cosx)/((1-sinx)^2)
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- If y=tanx , prove that y2=2y y1 .
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- If y=tan^(-1)x , find (d^2y)/(dx^2) in terms of y alone.
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- If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0 .
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- If y^3-y=2x , prove that (d^2y)/(dx^2)=-(24 y)/((3y^2-1)^3) .
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