Question

derivada de f(x)=(x^2+5x-6)(x^3+5x-8)

Answer 1

Explicación paso a paso:

$f(x) = ( {x}^{2} + 5x - 6)( {x}^{2} + 5x - 8) \\ \frac{d(y)}{d(x)} = (2x + 5)( {x}^{2} + 5x - 8) + ( {x}^{2} + 5x - 6)(2x + 5) \\ \frac{dx}{dy} = 2 {x}^{3} + 10 {x}^{2} - 16x + 5 {x}^{2} + 25x - 40 + 2 {x}^{3} + 5 {x}^{2} + 10 {x}^{2} + 25x - 12x - 30 \\ \frac{dx}{dy} = 4 {x}^{3} + 30 {x}^{2} + 22x - 70$