f(x)=ln(4x)/(x^4) −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 ( ln ( 4 x ) x 4 ) \frac{d^2}{dx^2}\left(\frac{\ln\left(4x\right)}{x^4}\right) d x 2 d 2 ( x 4 ln ( 4 x ) )
Solución explicada paso por paso
Pasos intermedios
1
Calcular la (1 1 1
x 4 x − 4 x 3 ln ( 4 x ) x 8 \frac{\frac{x^4}{x}-4x^{3}\ln\left(4x\right)}{x^{8}} x 8 x x 4 − 4 x 3 ln ( 4 x )
Explicar más este paso
Pasos intermedios
x 4 − 4 x 4 ln ( 4 x ) x 9 \frac{x^4-4x^{4}\ln\left(4x\right)}{x^{9}} x 9 x 4 − 4 x 4 ln ( 4 x )
Explicar más este paso
Pasos intermedios
3
Calcular la (2 2 2
( 4 x 3 − 4 ( x 4 x + 4 x 3 ln ( 4 x ) ) ) x 9 − 9 ( x 4 − 4 x 4 ln ( 4 x ) ) x 8 x 18 \frac{\left(4x^{3}-4\left(\frac{x^{4}}{x}+4x^{3}\ln\left(4x\right)\right)\right)x^{9}-9\left(x^4-4x^{4}\ln\left(4x\right)\right)x^{8}}{x^{18}} x 18 ( 4 x 3 − 4 ( x x 4 + 4 x 3 ln ( 4 x ) ) ) x 9 − 9 ( x 4 − 4 x 4 ln ( 4 x ) ) x 8
Explicar más este paso
Pasos intermedios
( 4 x 3 + − 4 ( x 4 + 4 x 4 ln ( 4 x ) ) x ) x 9 − 9 ( x 4 − 4 x 4 ln ( 4 x ) ) x 8 x 18 \frac{\left(4x^{3}+\frac{-4\left(x^{4}+4x^{4}\ln\left(4x\right)\right)}{x}\right)x^{9}-9\left(x^4-4x^{4}\ln\left(4x\right)\right)x^{8}}{x^{18}} x 18 ( 4 x 3 + x − 4 ( x 4 + 4 x 4 l n ( 4 x ) ) ) x 9 − 9 ( x 4 − 4 x 4 ln ( 4 x ) ) x 8
Explicar más este paso
Respuesta final al problema ( 4 x 3 + − 4 ( x 4 + 4 x 4 ln ( 4 x ) ) x ) x 9 − 9 ( x 4 − 4 x 4 ln ( 4 x ) ) x 8 x 18 \frac{\left(4x^{3}+\frac{-4\left(x^{4}+4x^{4}\ln\left(4x\right)\right)}{x}\right)x^{9}-9\left(x^4-4x^{4}\ln\left(4x\right)\right)x^{8}}{x^{18}} x 18 ( 4 x 3 + x − 4 ( x 4 + 4 x 4 l n ( 4 x ) ) ) x 9 − 9 ( x 4 − 4 x 4 ln ( 4 x ) ) x 8