જો $y = \sqrt {\frac{(x - a)(x - b)}{(x - c)(x - d)}} $ હોય,તો $\frac{dy}{dx} = $
- A$\frac{y}{2}\left[ \frac{1}{x - a} + \frac{1}{x - b} - \frac{1}{x - c} - \frac{1}{x - d} \right]$
- B$y\left[ \frac{1}{x - a} + \frac{1}{x - b} - \frac{1}{x - c} - \frac{1}{x - d} \right]$
- C$\frac{1}{2}\left[ \frac{1}{x - a} + \frac{1}{x - b} - \frac{1}{x - c} - \frac{1}{x - d} \right]$
- Dઆમાંથી કોઈ નહીં
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$x^{\sin x}$ નો $(\sin x)^{x}$ ની સાપેક્ષમાં ફેરફારનો દર શોધો.
જો $y=(\sin x)^{\tan x}$ હોય,તો $\frac{dy}{dx}$ ની કિંમત શોધો.
જો $y = ({x^x})^x$ હોય,તો $\frac{dy}{dx} =$
Medium
View Solutionવિધાન $(A)$: $\frac{d}{d x}\left(\frac{x^2 \sin x}{\log x}\right)=\frac{x^2 \sin x}{\log x} \left(\cot x+\frac{2}{x}-\frac{1}{x \log x}\right)$
કારણ $(R)$: $\frac{d}{d x}\left(\frac{u v}{w}\right)=\frac{u v}{w}\left[\frac{u^{\prime}}{u}+\frac{v^{\prime}}{v}-\frac{w^{\prime}}{w}\right]$
કારણ $(R)$: $\frac{d}{d x}\left(\frac{u v}{w}\right)=\frac{u v}{w}\left[\frac{u^{\prime}}{u}+\frac{v^{\prime}}{v}-\frac{w^{\prime}}{w}\right]$
જો $y=\sqrt{e^{\sqrt{x}}}$,હોય તો $\frac{d y}{d x}=$
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