Question

alguém ajuda? ......... d^6/dx6, onde y = 1/30 √5pi  x^6

Answer 1

$y= \frac{1}{30}* \sqrt{5\pi} *x^6\\\\ \frac{d^6y}{dx^6} = \frac{1}{30}* \sqrt{5\pi} *(6*5*4*3*2*1)*x^{6-1-1-1-1-1-1} \\\\ \frac{d^6y}{dx^6}=\frac{1}{30}* \sqrt{5\pi}*720$