Question

Cum se deriveaza ()2x√x)/3?

Answer 1

$\frac{1}{3} (2x' \sqrt{x} + \sqrt{x}' *2x)= \frac{1}{3} (2 \sqrt{x} + \frac{x}{ \sqrt{x} } )= \frac{1}{3} \frac{3x}{ \sqrt{x} } = \frac{x}{ \sqrt{x} }$

Answer 2

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