Question

Determina la función derivada de: y = 4x³ + 5x en los 4 pasos

Answer 1

Respuesta:

${y}^{ \prime} = 8x + 5$

Explicación:

$y = 4 {x}^{2} + 5x \\ {y}^{ \prime} = {(4 {x}^{2} + 5x )}^{ \prime} \\ {y}^{ \prime} = { (4{x}^{2}) }^{ \prime} + {(5x)}^{ \prime} \\ {y}^{ \prime} = 4 {( {x}^{2} )}^{ \prime} + 5 \\ {y}^{ \prime} = 4 \times 2x + 5 = 8x + 5$