Question

Buna ziua cum pot deriva următoarea funcție: f(x)=x^2*radical din x? Mulțumesc anticipat!

Answer 1

$f(x)=x^{2}*\sqrt{x} =x^{2}*x^{\frac{1}{2}}=x^{\frac{5}{2}}\\  \\f'(x) =\frac{5}{2}*x^{\frac{5}{2}-1}  =\frac{5}{2} *x^{\frac{3}{2}}$

Answer 2

$\it x^2\sqrt{x} =x^2\cdot x^{\frac{1}{2}} = x^{\frac{5}{2}}\\\\(x^{\frac{5}{2}})' = \dfrac{5}{2}x^{\frac{3}{2}}$