Question

derivada de f(x)x³sen (x²+7x-1)

Answer 1

F(x) = x³sen(x²+7x-1)

$\frac{dy}{dx} = 3 {x}^{2} \sin( {x}^{2} + 7x - 1) + {x}^{3} \cos( {x}^{2} + 7x - 1) \times (2x + 7) \\ \frac{dy}{dx} = 3 {x}^{2} \sin( {x}^{2} + 7x - 1) + 2 {x}^{4} + 7 {x}^{3} \cos( {x}^{2} + 7x - 1 )$