Question

Choose the best answer​

Answer 1

`\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 ❞