Question

please answer this question
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Answer 1

Answer:

$f(x) = \frac{5 {x}^{3} }{2 \sqrt{x} } \\ \\ f(x) = \frac{5}{2} \frac{ {x}^{3} }{ \sqrt{x} } \\ \\ f(x) = \frac{5}{2} \: {x}^{3} \: {x}^{ \frac{ - 1}{2} } \\ \\ f(x) = \frac{5}{2 } \: {x}^{ \frac{5}{2} } \\ \\ f'(x) = \frac{5}{2} \times \: \frac{5}{2} {x}^{ \frac{5}{2} - 1} \\ \\ f'(x) = \frac{5}{2} \times \frac{5}{2} {x}^{ \frac{3}{2} } \\ \\ f'(x) = \frac{25}{4} {x}^{ \frac{3}{2} }$