Question

Calcule a Derivada
f(x)= x2+√x​

Answer 1

Explicação passo-a-passo:

$\sf f(x)=x^2+\sqrt{x}$

$\sf f(x)=x^2+x^{\frac{1}{2}}$

$\sf f'(x)=2x^{2-1}+\dfrac{1}{2}\cdot x^{\frac{1}{2}-1}$

$\sf f'(x)=2x+\dfrac{1}{2}\cdot x^{\frac{1-2}{2}}$

$\sf f'(x)=2x+\dfrac{1}{2}\cdot x^{\frac{-1}{2}}$

$\sf f'(x)=2x+\dfrac{1}{2}\cdot\dfrac{1}{\sqrt{x}}$

$\sf \red{f'(x)=2x+\dfrac{1}{2\sqrt{x}}}$