Question

calcule a derivada das funções abaixo usando as propriedades adequadas: f(x) = (t^5-1)(4t^2-7t-3)

Answer 1

$f(x)=u(x)v(x)\to f'(x)=u'(x)v(x)+u(x)v'(x)$

$u(x)=t^5-1\\\\u'(x)=5t^4\\\\v(x)=4t^2-7t-3\\\\v'(t)=8t-7\\\\\\\boxed{f'(x)=(5t^4)(4t^2-7t-3)+(t^5-1)(8t-7)}$