Question

Choose the best answer​

Answer 1

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:-\dfrac{1}{\sqrt{3-2x}}$

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$\large \tt Solution \: :$

We newd to find the derivative of given function :

$\qquad \tt \rightarrow \: y = \sqrt{3 - 2x}$

$\qquad \tt \rightarrow \: y = (3 - 2x) {}^{ \frac{1}{2} }$

$\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{d}{dx} (3 - 2x) {}^{ \frac{1}{2} }$

$\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{2} \sdot(3 - 2x) {}^{ - \frac{1}{2} } \sdot( - 2)$

$\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{1}{ \cancel2} \sdot\frac{1}{(3 - 2x) {}^{ \frac{1}{2} } }\sdot( - \cancel2)$

$\qquad \displaystyle \tt \rightarrow \: \frac{dy}{dx} = \frac{ - 1}{ \sqrt{ (3 - 2x) {}^{ }} }$

Correct option : B

Answered by : ❝ AǫᴜᴀWɪᴢ ❞