Question

derivada de y= -√2x³​

Answer 1

Respuesta:

$- \frac{3 \sqrt{x} }{ \sqrt{2} }$

Explicación:

$y = - \sqrt{2 {x}^{3} } = - \sqrt{2} \sqrt{ {x}^{3} }$

$- \sqrt{2} \frac{d}{dx} {x}^{ \frac{3}{2} } = - \sqrt{2} ( \frac{3}{2} ( {x}^{ \frac{3}{2} - 1 } ) = - \frac{ - \sqrt{2} (3)( {x}^{ \frac{1}{2} } )}{2} = - \frac{ \sqrt{2} \: 3 \sqrt{ x } }{ \sqrt{2} \sqrt{2} } = - \frac{3 \sqrt{x} }{ \sqrt{2} }$