Question

derivada de f(x)=(2x^4-1).(5x^3+6x)
Resposta 70x^6+60x^4-15x^2-6

Answer 1

$f(x)=(2x^4-1)\cdot(5x^3+6x)\\\\Regra\ do\ Produto\\f'(x)=g'(x)\cdot{h(x)}+g(x)\cdot{h'(x)}\\\\g(x)=2x^4-1\ ....\ g'(x)=8x^3\\h(x)=5x^3+6x\ ....\ h'(x)=15x^2+6\\\\f'(x)=8x^3(5x^3+6x)+(2x^4-1)(15x^2+6)\\f'(x)=40x^6+48x^4+30x^6+12x^4-15x^2+6\\f'(x)=70x^6+60x^4-15x^2-6$