Question

Derivada de
$y= \frac{x \sqrt{x} -50}{ln20}$

Answer 1

$y = \frac{x \sqrt{x} -50}{ln20}$

ln20 é constante, pode saltar pra fora.


$\\ y = \frac{1}{ln20} *(x \sqrt{x} -50) \\ \\ y = \frac{1}{ln20} *x \sqrt{x} - \frac{1}{ln20}*20 \\ \\ y = \frac{1}{ln20}*(x*x^1^/^2)- \frac{1}{ln20}*50 \\ \\ y = \frac{1}{ln20}*(x^3^/^2)- \frac{1}{ln20}*50$

------------------------------------------


$\\ y' = \frac{1}{ln20}* \frac{3}{2} *x^3^/^2^-^1+0 \\ \\ y' = \frac{3}{2ln20} *x^1^/^2 \\ \\ y' = \frac{3 \sqrt{x} }{2ln20}$