Question

derivada da função:

y=3x∛x²

Answer 1

$y=3x\sqrt[3]{x^{2}}\\y=3\sqrt[3]{x^{3}}\sqrt[3]{x^{2}}\\y=3\sqrt[3]{x^{3}\cdot x^{2}}\\y=3\sqrt[3]{x^{5}}\\y=3\cdot x^{5/3}\\y'=(5/3)\cdot3x^{(5/3)-1}\\y'=5\cdot x^{2/3}\\\\\boxed{\boxed{y'=5\sqrt[3]{x^{2}}}}$