f(x)=x^51/((1+x^3)^2) −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −3 -2.5 −2 -1.5 −1 -0.5 0 0.5 1 1.5 2 2.5 3 x y
Ejerciciod 2 d x 2 ( x 5 ⋅ 1 ( 1 + x 3 ) 2 ) \frac{d^2}{dx^2}\left(x^5\cdot\:\frac{1}{\left(1+x^3\right)^2}\right) d x 2 d 2 ( x 5 ⋅ ( 1 + x 3 ) 2 1 )
Solución explicada paso por paso
Respuesta final al problema ( 5 ( 4 x 3 ( 1 + x 3 ) 2 + 6 x 6 ( 1 + x 3 ) ) − 6 ( 7 x 6 ( 1 + x 3 ) + 3 x 9 ) ) ( 1 + x 3 ) 4 − 12 ( 5 x 4 ( 1 + x 3 ) 2 − 6 x 7 ( 1 + x 3 ) ) ( 1 + x 3 ) 3 x 2 ( 1 + x 3 ) 8 \frac{\left(5\left(4x^{3}\left(1+x^3\right)^2+6x^{6}\left(1+x^3\right)\right)-6\left(7x^{6}\left(1+x^3\right)+3x^{9}\right)\right)\left(1+x^3\right)^{4}-12\left(5x^{4}\left(1+x^3\right)^2-6x^{7}\left(1+x^3\right)\right)\left(1+x^3\right)^{3}x^{2}}{\left(1+x^3\right)^{8}} ( 1 + x 3 ) 8 ( 5 ( 4 x 3 ( 1 + x 3 ) 2 + 6 x 6 ( 1 + x 3 ) ) − 6 ( 7 x 6 ( 1 + x 3 ) + 3 x 9 ) ) ( 1 + x 3 ) 4 − 12 ( 5 x 4 ( 1 + x 3 ) 2 − 6 x 7 ( 1 + x 3 ) ) ( 1 + x 3 ) 3 x 2