Question

Calcule a derivada da função f(x)= 10x³+4

Answer 1

$\sf\:f(x) = 10x {}^{3} + 4\\ \\ \\ \sf\:f {}^{ \prime}(x) = \frac{d}{dx} \Big(10x {}^{3} + 4\Big) \\ \\ \\ \sf\:f {}^{ \prime} (x) = \frac{d}{dx} \Big(10 {x}^{3} \Big) + \frac{d}{dx} (4) \\ \\ \\ \sf\:f {}^{ \prime} (x) = 10 \cdot \frac{d}{dx} \Big(x {}^{3} \Big) + \frac{d}{dx} (4) \\ \\ \\ \sf\:f {}^{ \prime} (x) = 10 \cdot3x {}^{2} + \frac{d}{dx} (4) \\ \\ \\ \sf\:f {}^{ \prime} (x) = 10 \cdot3x {}^{2} + 0 \\ \\ \\ \sf\:f {}^{ \prime} (x) = 10 \cdot3x {}^{2} \\ \\ \\ \boxed{\sf\:f {}^{ \prime} (x) = 30x {}^{2} }$

Att: Nerd1990