Question

calcular derivada de (x-1)ˆ4 (2x+3)ˆ5 e simplificar o resultado

Answer 1

Resposta:

y=(x-1)⁴ (2x+3)⁵

y'=[(x-1)⁴]' (2x+3)⁵  + (x-1)⁴ [(2x+3)⁵]'

y' =4*(x-1)³ * (x-1)'(2x+3)⁵ +(x-1)⁴  * [5*(2x+3)⁴  * (2x+3)'

y' =4*(x-1)³ * 1 * (2x+3)⁵ +(x-1)⁴  * 5*(2x+3)⁴  * 2

y' =4*(x-1)³ (2x+3)⁵ +10*(x-1)⁴  * (2x+3)⁴

y'=-162 - 1404 x + 864 x² + 3372 x³ - 590 x⁴ - 2928 x⁵ - 336 x⁶ + 896 x⁷ + 288 x⁸