Question

Найдите производную функции f(x) =3x^4+2/x^3

Answer 1

f'(x) = 12x^3-6/x^4
________________

Answer 2

$f(x) = \frac{3 {x}^{4} + 2}{ {x}^{3} }$
f'(x) =
$\frac{3 \times 4 {x}^{3} \times {x}^{3} - (3 {x}^{4} + 2) \times 3 {x}^{2} }{ {x}^{6} } = \frac{12 {x}^{6} - 9 {x}^{6} - 6 {x}^{2} }{ {x}^{6} } = \frac{3 {x}^{6} - 6 {x}^{2} }{ {x}^{6} } = \frac{3 {x}^{2} ( {x}^{4} - 2) }{ {x}^{6} } = \frac{3( {x}^{4} - 2)}{ {x}^{4} }$