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RD SHARMA-HIGHER ORDER DERIVATIVES-Solved Examples And Exercises
- If y=a[x+(x^2-1)^(1/2)]^n+b[x-(x^2-1)^(1/2)]^n the value of the expre...
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- If y=a\ x^(n+1)+b x^(-n) and x^2(d^2y)/(dx^2)=lambday , then write the...
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- If x=acosn t-bsinn t and (d^2x)/(dt^2)=lambdax , then find the value ...
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- If x=t^2 and y=t^3 , find (d^2y)/(dx^2) .
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- If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...
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- If x=f(t) and y=g(t) , then write the value of (d^2y)/(dx^2) .
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- If y=1-x+(x^2)/(2!)-(x^3)/(3!)+(x^4)/(4!)...... oo , then write (d^2y)...
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- If y=x+e^x , find (d^2x)/(dy^2) .
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- If y=|x-x^2| , then find (d^2y)/(dx^2) .
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- If y=|(log)e x| , find (d^2y)/(dx^2) .
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- If x=acosnt-bsinnt , then (d^2x)/(dt^2) is (a)n^2x (b) -n^2x (c) n x ...
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- If x=a t^2,\ \ y=2\ a t , then (d^2y)/(dx^2)= -1/(t^2) (b) 1/(2\ a t^...
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- If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= (a)n(n-1)y (b) n(n+1...
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- (d^(20))/(dx^(20))(2cosxcos3x)= 2^(20)(cos2x-2^(20)cos4x) (b) 2^(20)(...
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- If x=t^2,\ \ y=t^3 , then (d^2y)/(dx^2)= (a)3//2 (b) 3//4t (c) 3//2t ...
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- If y=a+b x^2,\ a ,\ b arbitrary constants, then (d^2y)/(dx^2)=2\ x y...
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- If f(x)=(cosx+isinx)(cos2x+isin2x)(cos3x+isin3x)ddot(cosn x+isinn x) a...
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- If y=asinm x+bcosm x , then (d^2y)/(dx^2) is equal to (a)-m^2y (b) m^2...
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- If f(x)=(sin^(-1)x)/(sqrt(1-x^2)),t h e n(1-x^2)f^(x)-xf(x)= 1 (b) ...
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- If y=tan^(-1){((log)e(e//x^2))/((log)e(e x^2))}+tan^(-1)((3+2\ (log)e ...
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