Question

Obtén la Derivada de: f(x) = (3X² + 4X)(2X² + X) *​

Answer 1

Respuesta:

f(x) = (3x^2+4x)(2x^2+x)

f(x) = 6x^4+11x^3+4x^2

f ' (x) = d/dx [ 6x^4+11x^3+4x^2 ]

f ' (x) = d/dx [6x^4]+d/dx [ 11x^3 ]+d/dx[ 4x^2 ]

f ' (x) = 6×d/dx[x^4]+11×d/dx[x^3]+4×d/dx[x^2]

f ' (x) = 6(4x^3)+11(3x^2)+4(2x)

f ' (x) = (6×4)x^3+(11×3)x^2+(4×2)x

f ' (x) = 24x^3 + 33x^2 + 8x

R// f ' (x) = 24x^3 + 33x^2 + 8x es la derivada de f(x) = ( 3x^2+4x )( 2x^2+x ).

Explicación paso a paso: