Question

Qual a derivada de: ƒ(x) = x^-3 + 2x^3 + 5/x

Answer 1

Resposta:

$\frac{d}{dx} ( {x}^{ - 3} ) + \frac{d}{dx} (2 {x}^{3} ) + \frac{d}{dx} ( \frac{5}{x} ) = \\ - 3 \times x {}^{ - 3 - 1} + 2 \times 3 \times x {}^{3 - 1} + \frac{d}{dx} (5x {}^{ - 1} ) \\ - 3x {}^{ - 4} + 6x {}^{2} - 1 \times 5x {}^{ - 1 - 1} \\ \frac{ - 3}{ {x}^{4} } + 6 {x}^{2} - 5x {}^{ - 2} \\ \frac{ - 3}{ {x}^{4} } + 6 {x}^{2} - \frac{ 5}{ {x}^{2} } \\ \frac{ - 3 + 6 {x}^{6} - 5 {x}^{2} }{ {x}^{4} }$