BITSAT · Mathematics
Differentiation
20 practice questions for BITSAT — 17 easy · 3 medium · 0 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
If $y=\tan ^{-1}\left(\frac{\sqrt{x}-x}{1+x^{\frac{3}{2}}}\right)$, then $y^{\prime}(1)$ is equal to
MCQ
If $x \sqrt{1+y}+y \sqrt{1+x}=0$, then $\frac{d y}{d x}=$
MCQ
At $x=\frac{\pi^2}{4}, \frac{d}{d x}\left(\tan ^{-1}(\cos \sqrt{x})+\sec ^{-1}\left(e^x\right)\right)=$
MCQ
If $y^x=e^{y-x}$, then $\frac{d y}{d x}$ is equal to
MCQ
If $y=\sqrt{\left(\frac{1+\cos 2 \theta}{1-\cos 2 \theta}\right)}$, then $\frac{d y}{d \theta}$ at $\theta=\frac{3 \pi}{4}$ is :
MCQ
The derivative of $e^{x^3}$ with respect to $\log x$ is
MCQ
$\frac{d}{d x}\left(\tan ^{-1} \sqrt{\frac{1+\cos \frac{x}{2}}{1-\cos \frac{x}{2}}}\right)$ is equal to
MCQ
If $x=\frac{1-t^{2}}{1+t^{2}}$ and $y=\frac{2 t}{1+t^{2}}$, then $\frac{d y}{d x}$ is equal to :
MCQ
$\text { If } 2^{x}+2^{y}=2^{x+y} \text {, then } \frac{d y}{d x}=$
MCQ
If $x y+y^{2}=\tan x+y,$ then find $\frac{d y}{d x}$ is
MCQ
Let $f(x)=x[x], x∉Z$, ($[·]$ denotes greatest integer function), then ${f}^{'}(x)$ is equal to
MCQ
If $g$ is the inverse of function $f$ and $f^{\prime}(x)=\sin x$, then $\mathrm{g}^{\prime}(\mathrm{x})$ is equal to