Question

encontre a derivada das seguintes funções

$f(x) = x \sqrt{x}$
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Answer 1

Sabendo que $\sqrt[a]{x^b}= x^{\frac{b}{a}}$

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