Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
3
5 - 4*x / / 3\\
/ 2\ | 2 / 2\ 2*x*\5 - 4*x /|
\1 - x / *|- 12*x *log\1 - x / - --------------|
| 2 |
\ 1 - x /
$$\left(1 - x^{2}\right)^{5 - 4 x^{3}} \left(- 12 x^{2} \log{\left(1 - x^{2} \right)} - \frac{2 x \left(5 - 4 x^{3}\right)}{1 - x^{2}}\right)$$
3 / 2 \
5 - 4*x | 3 3 / 3 \ 2 / 3\|
/ 2\ | -5 + 4*x 24*x / 2\ 2 |-5 + 4*x / 2\| 2*x *\-5 + 4*x /|
2*\1 - x / *|- --------- - ------- - 12*x*log\1 - x / + 2*x *|--------- + 6*x*log\1 - x /| + ----------------|
| 2 2 | 2 | 2 |
| -1 + x -1 + x \ -1 + x / / 2\ |
\ \-1 + x / /
$$2 \left(1 - x^{2}\right)^{5 - 4 x^{3}} \left(- \frac{24 x^{3}}{x^{2} - 1} + 2 x^{2} \left(6 x \log{\left(1 - x^{2} \right)} + \frac{4 x^{3} - 5}{x^{2} - 1}\right)^{2} + \frac{2 x^{2} \left(4 x^{3} - 5\right)}{\left(x^{2} - 1\right)^{2}} - 12 x \log{\left(1 - x^{2} \right)} - \frac{4 x^{3} - 5}{x^{2} - 1}\right)$$
3 / 3 \
5 - 4*x | 2 / 3 \ 4 3 / 3\ / 3\ / 3 \ / 3 3 2 / 3\\|
/ 2\ | / 2\ 54*x 3 |-5 + 4*x / 2\| 36*x 4*x *\-5 + 4*x / 3*x*\-5 + 4*x / |-5 + 4*x / 2\| |-5 + 4*x / 2\ 24*x 2*x *\-5 + 4*x /||
4*\1 - x / *|- 6*log\1 - x / - ------- - 2*x *|--------- + 6*x*log\1 - x /| + ---------- - ---------------- + --------------- + 3*x*|--------- + 6*x*log\1 - x /|*|--------- + 12*x*log\1 - x / + ------- - ----------------||
| 2 | 2 | 2 3 2 | 2 | | 2 2 2 ||
| -1 + x \ -1 + x / / 2\ / 2\ / 2\ \ -1 + x / | -1 + x -1 + x / 2\ ||
\ \-1 + x / \-1 + x / \-1 + x / \ \-1 + x / //
$$4 \left(1 - x^{2}\right)^{5 - 4 x^{3}} \left(\frac{36 x^{4}}{\left(x^{2} - 1\right)^{2}} - 2 x^{3} \left(6 x \log{\left(1 - x^{2} \right)} + \frac{4 x^{3} - 5}{x^{2} - 1}\right)^{3} - \frac{4 x^{3} \left(4 x^{3} - 5\right)}{\left(x^{2} - 1\right)^{3}} - \frac{54 x^{2}}{x^{2} - 1} + 3 x \left(6 x \log{\left(1 - x^{2} \right)} + \frac{4 x^{3} - 5}{x^{2} - 1}\right) \left(\frac{24 x^{3}}{x^{2} - 1} - \frac{2 x^{2} \left(4 x^{3} - 5\right)}{\left(x^{2} - 1\right)^{2}} + 12 x \log{\left(1 - x^{2} \right)} + \frac{4 x^{3} - 5}{x^{2} - 1}\right) + \frac{3 x \left(4 x^{3} - 5\right)}{\left(x^{2} - 1\right)^{2}} - 6 \log{\left(1 - x^{2} \right)}\right)$$