Solución detallada
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No logro encontrar los pasos en la búsqueda de esta derivada.
Perola derivada
Respuesta:
cos(3*x) /cos(3*x) \
(x - 5) *|-------- - 3*log(x - 5)*sin(3*x)|
\ x - 5 /
$$\left(x - 5\right)^{\cos{\left(3 x \right)}} \left(- 3 \log{\left(x - 5 \right)} \sin{\left(3 x \right)} + \frac{\cos{\left(3 x \right)}}{x - 5}\right)$$
/ 2 \
cos(3*x) |/ cos(3*x) \ cos(3*x) 6*sin(3*x)|
(-5 + x) *||- -------- + 3*log(-5 + x)*sin(3*x)| - --------- - 9*cos(3*x)*log(-5 + x) - ----------|
|\ -5 + x / 2 -5 + x |
\ (-5 + x) /
$$\left(x - 5\right)^{\cos{\left(3 x \right)}} \left(\left(3 \log{\left(x - 5 \right)} \sin{\left(3 x \right)} - \frac{\cos{\left(3 x \right)}}{x - 5}\right)^{2} - 9 \log{\left(x - 5 \right)} \cos{\left(3 x \right)} - \frac{6 \sin{\left(3 x \right)}}{x - 5} - \frac{\cos{\left(3 x \right)}}{\left(x - 5\right)^{2}}\right)$$
/ 3 \
cos(3*x) | / cos(3*x) \ 27*cos(3*x) 2*cos(3*x) / cos(3*x) \ / cos(3*x) 6*sin(3*x) \ 9*sin(3*x) |
(-5 + x) *|- |- -------- + 3*log(-5 + x)*sin(3*x)| - ----------- + ---------- + 3*|- -------- + 3*log(-5 + x)*sin(3*x)|*|--------- + ---------- + 9*cos(3*x)*log(-5 + x)| + ---------- + 27*log(-5 + x)*sin(3*x)|
| \ -5 + x / -5 + x 3 \ -5 + x / | 2 -5 + x | 2 |
\ (-5 + x) \(-5 + x) / (-5 + x) /
$$\left(x - 5\right)^{\cos{\left(3 x \right)}} \left(- \left(3 \log{\left(x - 5 \right)} \sin{\left(3 x \right)} - \frac{\cos{\left(3 x \right)}}{x - 5}\right)^{3} + 3 \left(3 \log{\left(x - 5 \right)} \sin{\left(3 x \right)} - \frac{\cos{\left(3 x \right)}}{x - 5}\right) \left(9 \log{\left(x - 5 \right)} \cos{\left(3 x \right)} + \frac{6 \sin{\left(3 x \right)}}{x - 5} + \frac{\cos{\left(3 x \right)}}{\left(x - 5\right)^{2}}\right) + 27 \log{\left(x - 5 \right)} \sin{\left(3 x \right)} - \frac{27 \cos{\left(3 x \right)}}{x - 5} + \frac{9 \sin{\left(3 x \right)}}{\left(x - 5\right)^{2}} + \frac{2 \cos{\left(3 x \right)}}{\left(x - 5\right)^{3}}\right)$$