KC SINHA-द्वितीय कोटि का अवकलज -अभ्यास 12.1
- निम्नलिखित फलनों के द्वितीय (कोटि) का अवकलज ज्ञात करें | sin(logx)
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- यदि (If) y=sin(logx), सिद्ध करें कि (prove that) x^(2)(d^(2)y)/(dx^(2)...
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- यदि (If)y=x^(3)+tanx, दिखाएँ कि (show that) (d^(2)y)/(dx^(2))=6x+2 sec...
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- यदि (If)y=sin(sinx), दिखाएँ कि (show that) (d^(2)y)/(dx^(2))+tanx(dy)/...
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- यदि (If)y=[log(x+sqrt(x^(2)+a^(2)))]^(2), सिद्ध करें कि (prove that) (...
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- यदि (If)y=A sin x+B cos x, सिद्ध करें कि (prove that)(d^(2)y)/(dx^(2))...
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- यदि (If)y=5 cos x-3 sin x, सिद्ध करें कि (prove that) (d^(2)y)/(dx^(2)...
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- A और B ज्ञात करें ताकि y=A sin 5x+B cos 5x समीकरण (satisfies the equat...
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- यदि (If) y=3e^(2x)+2e^(3x), सिद्ध करें कि (prove that) (d^(2)y)/(dx^(2...
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- यदि (If) y=Ae^(mx)+Be^(nx), दिखाएँ कि (show that) (d^(2)y)/(dx^(2))-(m...
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- यदि (If) y=500 e^(7x)+600 e^(-7x), दिखाएँ कि (show that) (d^(2)y)/(dx^...
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- यदि (If) y=sin^(-1)x, दिखाएँ कि (show that) (1-x^(2))(d^(2)y)/(dx^(2))...
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- यदि (If) y=(tan^(-1)x)^(2), दिखाएँ कि (show that) (x^(2)+1)^(2)y(2)+2x...
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- यदि (If) y=3cos(logx)+4sin(logx), दिखाएँ कि (show that) x^(2)y(2)+xy(1...
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- यदि (If) y=e^(-x)cosx, दिखाएँ कि (show that) (d^(4)y)/(dx^(4))+4y=0
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- यदि (If) e^(y)(x+1)=1, दिखाएँ कि (show that) (d^(2)y)/(dx^(2))=((dy)/(...
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- यदि (If) y=e^(tan^(-1)x), दिखाएँ कि (show that) (x^(2)+1)(d^(2)y)/(dx^...
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- यदि (If) y=Ae^(kt)cos(pt+alpha), दिखाएँ कि (show that) (d^(2)y)/(dx^(2...
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- यदि (If) y=log((x)/(a+bx))^(x), सिद्ध करें कि (prove that) (d^(2)y)/(d...
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- यदि x=cos theta, y=sin^(3)theta, दिखाएँ कि (show that) y(d^(2)y)/(dx^...
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