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KC SINHA-अवकलन -अभ्यास 11.2
- "tan"^(-1)(2x)/(1-x^(2)),|x|lt1
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- sec^(-1)((1)/(4x^(3)-3x))
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- निम्नलिखित को x के सापेक्ष अवकलित करें । "tan"^(-1)(4sqrt(x))/(1-...
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- सरलतम रूप में लिखिएः "tan"^(-1)(sqrt(x)+sqrt(a))/(1-sqrt(xa))
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- "tan"^(-1)(5x)/(1-6x^(2))
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- "tan"^(-1)(a+x)/(1-ax)
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- "sin"^(-1)(2^(x+1))/(1+4^(x))
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- निम्नलिखित को x के सापेक्ष अवकलित करें । "tan"^(-1)((a+bx)/(b-ax))
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- tan^(-1)((cosx+sinx)/(cosx-sinx))
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- tan^(-1)((a+btanx)/(b-atanx))
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- tan^(-1)((3a^(2)x-x^(3))/(a^(3)-3ax^(2)))
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- tan^(-1)((acosx=bsinx)/(b cosx+asinx))
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- tan^(-1)((2a^(x))/(1-a^(2x)))
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- यदि (If) y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)), दिखाएँ कि (s...
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- यदि y=tan^(-1)(cotx)+cot^(-1)(tanx), सिद्ध करें कि (dy)/(dx)= -2
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- यदि (If) y=sin^(-1)((2x)/(1+x^(2)))+sec^(-1)((1+x^(2))/(1-x^(2))), दि...
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- यदि y=sin{2tan^(-1)sqrt(((1-x)/(1+x)))}, दिखाएँ कि (dy)/(dx)=(-x)/(...
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- यदि y=cos^(-1)(2x)+2cos^(-1)sqrt(1-4x^(2)), दिखाएँ कि (dy)/(dx)=(2)...
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- यदि (If) y=sin^(2)(cot^(-1)sqrt((1+x)/(1-x))), दिखाएँ कि (prove that...
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- यदि y=sin^(-1)((1)/(sqrt(1+x^(2))))+tan^(-1)((sqrt(1+x^(2))-1)/(x)), ...
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