Question

$if \: y = \sqrt{x \: \: } ( \sqrt{x} + 1) \: then \: find \: dy \div dx$
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Answer 1

Step-by-step explanation:

$y = \sqrt{x} ( \sqrt{x} + 1) \\ \\ \frac{dy}{dx} = x + \sqrt{x} \\ \\ \: \: \: \: \: \: \: = 1 + \frac{1}{2} {x}^{ \frac{3}{2} }$