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RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
- If y=tanx+secx , prove that (d^2y)/(dx^2)=(cosx)/((1-sinx)^2)
03:13
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- If y=tanx , prove that y2=2y y1 .
03:52
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- If y=tan^(-1)x , find (d^2y)/(dx^2) in terms of y alone.
04:18
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- If x^m y^n=(x+y)^(m+n) , prove that (d^2y)/(dx^2)=0 .
05:07
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- If y^3-y=2x , prove that (d^2y)/(dx^2)=-(24 y)/((3y^2-1)^3) .
02:54
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- If e^y(x+1)=1 . Show that (d^2y)/(dx^2)=((dy)/(dx))^2
02:45
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- If y=x^x , find (d^2y)/(dx^2) .
03:14
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- If y=xlog"{"x/((a+b x))"]" , then show that x^3(d^2y)/(dx^2)=(x(dy)/(d...
09:13
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- If y=log{x+ sqrt( x^2+a^2 )} , prove that: (x^2+a^2)(d^2y)/(dx^2)+x(dy...
04:20
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- If y=sin^(-1)x , then show that (1-x^2)\ (d^2y)/(dx^2)-x(dy)/(dx)=0 .
02:41
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- If y=e^m\ sin^((-1)x) , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)-m^2...
03:25
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- If y={x+sqrt(x^2+1)}^m , show that (x^2+1)y2+x y1-m^2\ y=0
05:09
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- If y=(sin^(-1)x)/(sqrt(1-x^2)) , show that (1-x^2)(d^2y)/(dx^2)-3x(dy)...
05:24
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- If x=tan(1/alogy) , show that (1+x^2)(d^2y)/(dx^2)+(2x-a)(dy)/(dx)=0 .
05:28
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- If y=x^x , prove that (d^2y)/(dx^2)-1/y((dy)/(dx))^2-y/x=0
02:52
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- Find (d^2y)/(dx^2) , if x=a t^2,\ \ y=2a t .
02:57
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- If x=acos^3theta and y=asin^3theta, then find the value of (d^2y)/(...
04:58
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- If x=asint and y=a(cost+log tan(t/2) ) , find (d^2y)/(dx^2) .
03:54
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- lf x=acostheta+bsintheta, y=asintheta-bcostheta then show that y^2(d^...
04:39
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- If x=sint,y=sinpt, prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^2 y=...
06:56
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