Question

derivada de 3x raíz quadrada de x

Answer 1

$f(x)~=~3x.\sqrt{x}\\\\\\\frac{df(x)}{dx}~=~\left(3x~.~x^{\frac{1}{2}}\right)'\\\\\\\frac{df(x)}{dx}~=~\left(3x^{\frac{3}{2}}\right)'\\\\\\\frac{df(x)}{dx}~=~3~.~\frac{3}{2}.x^{\frac{3}{2}-1}\\\\\\\frac{df(x)}{dx}~=~\frac{9}{2}.x^{\frac{1}{2}}\\\\\\\boxed{\frac{df(x)}{dx}~=~\frac{9\sqrt{x}}{2}}$