જો $y = \frac{x^2}{(x - 1)(x - 2)(x - 3)} + \frac{2x}{(x - 2)(x - 3)} + \frac{3}{x - 3} + 1$ હોય,તો $\frac{xy'}{y}$ ની કિંમત શું થાય? (જ્યાં $y' = \frac{dy}{dx}$)
- A$\frac{1}{1 - x} + \frac{1}{2 - x} + \frac{1}{3 - x}$
- B$\frac{x}{1 - x} + \frac{x}{2 - x} + \frac{x}{3 - x}$
- C$\frac{1}{1 - x} + \frac{2}{2 - x} + \frac{3}{3 - x}$
- D$\frac{1}{x - 1} + \frac{2}{x - 2} + \frac{3}{x - 3}$
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Similar Questions
જો $y=(1+x)(1+x^{2})(1+x^{4})$ હોય,તો $x=1$ આગળ $\frac{dy}{dx}$ ની કિંમત શોધો.
વિધાન $(A)$: $\frac{d}{d x}\left(\frac{x^2 \sin x}{\log x}\right)=\frac{x^2 \sin x}{\log x} \left(\cot x+\frac{2}{x}-\frac{1}{x \log x}\right)$
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 $x^y=y^{\sin x}(\tan x)^{\cos x}$ હોય,તો $\left(\log x-\frac{\sin x}{y}\right) \frac{d y}{d x}=$
જો $y = x \sin x$ હોય,તો
Easy
View Solutionજો $h(x) = x^{x^x}$ હોય,તો $x = 1$ આગળ $\frac{h'(x)}{h(x)}$ ની કિંમત કેટલી થાય?
DifficultTS EAMCET 2001
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