Continuity and Differentiability

Bihar Board Class 12 · Mathematics · 139 past questions

8 of 139 · show all

1. Q120 2018

   If $x^2 y^3 = (x+y)^5$ then, $\frac{dy}{dx}$

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2. Q121 2018

   $\frac{d}{dx}\left[\tan^{-1}\sqrt{1+x^2} - \cot^{-1}\left(-\sqrt{1+x^2}\right)\right] =$

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3. Q122 2018

   $\frac{d(2^x)}{d(3^x)} =$

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4. Q123 2018

   If $y=\log\cos x^{2}$ then $\dfrac{dy}{dx}$ at $x=\sqrt{x}$ has the value

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5. Q124 2018

   $\dfrac{d}{dx}\left[\lim_{x\to a}\dfrac{x^{5}-a^{5}}{x-a}\right]=$

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6. Q125 2018

   Find $\frac{dy}{dx}$ if $x=y\log(xy)$

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7. Q126 2018

   If $y = \tan^{-1}\left(\dfrac{\cos x}{1+\sin x}\right)$ then find $\dfrac{dy}{dx}$.

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8. Q127 2018

   If $y = \sqrt{x+\sqrt{x+\sqrt{x+\cdots\text{ to }\infty}}}$ then find $\dfrac{dy}{dx}$.

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