Question

cual es la derivada de g(x)=(x^2+3) (x^2-4x)

Answer 1

Respuesta:

g'(x) = 4x³ - 12x² + 6x - 12

Explicación paso a paso:

$g(x) = (x {}^{2} + 3)(x {}^{2} - 4x) \\ g'(x) = (x {}^{2} + 3) '(x {}^{2} - 4x) + (x {}^{2} + 3)(x {}^{2} - 4x)' \\ g'(x) = (2x)(x {}^{2} - 4x) + (x {}^{2} + 3)(2x - 4) \\ g'(x) = 2x {}^{3} - 8x {}^{2} + 2x {}^{ 3} - 4x {}^{2} + 6x - 12 \\ g'(x) = 4x {}^{3} - 12x {}^{2} + 6x - 12$

Derivada del producto: (A.B)' = A'.B + A.B'