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asked Oct 18, 2023 233k views

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Asamoylenko · Answer 1 · 2023-10-23T14:38:36+0000

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

$\qquad \tt \rightarrow \:-(1)/(√(3-2x))$

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$\large \tt Solution \: :$

We newd to find the derivative of given function :

$\qquad \tt \rightarrow \: y = √(3 - 2x)$

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

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

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

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

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

Correct option : B

Answered by : ❝ AǫᴜᴀWɪᴢ ❞