1.

Differentiate ((4x+3)/(2-x))^2 w.r.t x

Answer»

ANSWER:

y = ( \frac{4x + 3}{2 - x} ) {}^{2}

\frac{dy}{dx} = 2 \times \frac{4x + 3}{2 - x} \times ( \frac{(2 - x)4 - (4x + 3)( - 1)}{(2 - x) {}^{2} } ) =

2 \times \frac{4x + 3}{2 - x} \times \frac{8 - 4x + 4x + 3}{(2 - x) {}^{2} } =

2 \times \frac{11(4x + 3)}{ {(2 - x)}^{3} } = 22 \times \frac{4x + 3}{ {(2 - x)}^{3} } \: ans.


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