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RD SHARMA ENGLISH-HIGHER ORDER DERIVATIVES-All Questions
- Find second order derivative of tan^(-1)x
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- Find second order derivative of xcosx
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- Find second order derivative of log(logx)
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- If y=e^(-x)cosx, show that (d^(2)y)/(dx^(2))=2e^(-x)sinx.
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- If y=x+tanx , show that cos^2x\ (d^2y)/(dx^2)-2y+2x=0 .
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- If y=x^3logx , prove that (d^4y)/(dx^4)=6/x .
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- If y=log(sinx) , prove that (d^3y)/(dx^3)=2cosx cos e c^3x .
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- If y=2sinx+3cosx , show that (d^2y)/(dx^2)+y=0 .
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- If y=(logx)/x , show that (d^2y)/(dx^2)=(2logx-3)/(x^3) .
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- If x=asectheta , y=btantheta , prove that (d^2y)/(dx^2)=-(b^4)/(a^2\ y...
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- If x=a(costheta+thetasintheta) , y=a(sintheta-thetacostheta) , prove t...
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- If y=e^xcosx , prove that (d^2y)/(dx^2)=2\ e^xcos(x+pi/2) .
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- If x=acostheta , y=bsintheta , show that (d^2y)/(dx^2)=-(b^4)/(a^2y^3)...
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- If x=a(1-cos^3theta) , y=a\ sin^3theta , prove that (d^2y)/(dx^2)=(32)...
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- If x=a(theta+sintheta) , y=a(1+costheta) , prove that (d^2y)/(dx^2)=-a...
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- If x=a(theta-sintheta) , y=a(1+costheta) find (d^2y)/(dx^2)
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- If x=a(1-costheta) , y=a(theta+sintheta) , prove that (d^2y)/(dx^2)=-1...
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- If x=a(1+costheta) , y=a(theta+sintheta) , prove that (d^2y)/(dx^2)=(-...
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- If x=costheta , y=s in^3theta , prove that y\ (d^2y)/(dx^2)+((dy)/(dx)...
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- If y=sin(sinx) , prove that (d^2y)/(dx^2)+tanxdot(dy)/(dx)+y\ cos^2x=0...
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