Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de 3/2x
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Expresiones idénticas
- y=ctg(dos x- tres)^ tres /log3(x+2)
- y es igual a ctg(2x menos 3) al cubo dividir por logaritmo de 3(x más 2)
- y es igual a ctg(dos x menos tres) en el grado tres dividir por logaritmo de 3(x más 2)
- y=ctg(2x-3)3/log3(x+2)
- y=ctg2x-33/log3x+2
- y=ctg(2x-3)³/log3(x+2)
- y=ctg(2x-3) en el grado 3/log3(x+2)
- y=ctg2x-3^3/log3x+2
- y=ctg(2x-3)^3 dividir por log3(x+2)
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Expresiones semejantes
- y=ctg(2x-3)^3/log3(x-2)
- y=ctg(2x+3)^3/log3(x+2)
Derivada de y=ctg(2x-3)^3/log3(x+2)
Solución
Ha introducido
[src]
3 cot (2*x - 3) ------------- /log(x + 2)\ |----------| \ log(3) /
$$\frac{\cot^{3}{\left(2 x - 3 \right)}}{\frac{1}{\log{\left(3 \right)}} \log{\left(x + 2 \right)}}$$
cot(2*x - 3)^3/((log(x + 2)/log(3)))
Primera derivada
[src]
3
2 log(3) / 2 \ cot (2*x - 3)*log(3)
cot (2*x - 3)*----------*\-6 - 6*cot (2*x - 3)/ - --------------------
log(x + 2) 2
(x + 2)*log (x + 2)
$$\frac{\log{\left(3 \right)}}{\log{\left(x + 2 \right)}} \left(- 6 \cot^{2}{\left(2 x - 3 \right)} - 6\right) \cot^{2}{\left(2 x - 3 \right)} - \frac{\log{\left(3 \right)} \cot^{3}{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(x + 2 \right)}^{2}}$$
Segunda derivada
[src]
/ 2 / 2 \ \
| cot (-3 + 2*x)*|1 + ----------| / 2 \ |
| / 2 \ / 2 \ \ log(2 + x)/ 12*\1 + cot (-3 + 2*x)/*cot(-3 + 2*x)|
|24*\1 + cot (-3 + 2*x)/*\1 + 2*cot (-3 + 2*x)/ + ------------------------------- + -------------------------------------|*cot(-3 + 2*x)*log(3)
| 2 (2 + x)*log(2 + x) |
\ (2 + x) *log(2 + x) /
-----------------------------------------------------------------------------------------------------------------------------------------------
log(2 + x)
$$\frac{\left(\frac{\left(1 + \frac{2}{\log{\left(x + 2 \right)}}\right) \cot^{2}{\left(2 x - 3 \right)}}{\left(x + 2\right)^{2} \log{\left(x + 2 \right)}} + 24 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \left(2 \cot^{2}{\left(2 x - 3 \right)} + 1\right) + \frac{12 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \cot{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(x + 2 \right)}}\right) \log{\left(3 \right)} \cot{\left(2 x - 3 \right)}}{\log{\left(x + 2 \right)}}$$
3-я производная
[src]
/ 3 / 3 3 \ \
| cot (-3 + 2*x)*|1 + ---------- + -----------| 2 / 2 \ / 2 \ |
| / 2 \ | log(2 + x) 2 | 9*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)/*|1 + ----------| / 2 \ / 2 \ |
| / 2 \ |/ 2 \ 4 2 / 2 \| \ log (2 + x)/ \ log(2 + x)/ 36*\1 + cot (-3 + 2*x)/*\1 + 2*cot (-3 + 2*x)/*cot(-3 + 2*x)|
-2*|24*\1 + cot (-3 + 2*x)/*\\1 + cot (-3 + 2*x)/ + 2*cot (-3 + 2*x) + 7*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)// + --------------------------------------------- + ------------------------------------------------------ + ------------------------------------------------------------|*log(3)
| 3 2 (2 + x)*log(2 + x) |
\ (2 + x) *log(2 + x) (2 + x) *log(2 + x) /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
log(2 + x)
$$- \frac{2 \left(\frac{9 \left(1 + \frac{2}{\log{\left(x + 2 \right)}}\right) \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \cot^{2}{\left(2 x - 3 \right)}}{\left(x + 2\right)^{2} \log{\left(x + 2 \right)}} + 24 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \left(\left(\cot^{2}{\left(2 x - 3 \right)} + 1\right)^{2} + 7 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \cot^{2}{\left(2 x - 3 \right)} + 2 \cot^{4}{\left(2 x - 3 \right)}\right) + \frac{36 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \left(2 \cot^{2}{\left(2 x - 3 \right)} + 1\right) \cot{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(x + 2 \right)}} + \frac{\left(1 + \frac{3}{\log{\left(x + 2 \right)}} + \frac{3}{\log{\left(x + 2 \right)}^{2}}\right) \cot^{3}{\left(2 x - 3 \right)}}{\left(x + 2\right)^{3} \log{\left(x + 2 \right)}}\right) \log{\left(3 \right)}}{\log{\left(x + 2 \right)}}$$
Tercera derivada
[src]
/ 3 / 3 3 \ \
| cot (-3 + 2*x)*|1 + ---------- + -----------| 2 / 2 \ / 2 \ |
| / 2 \ | log(2 + x) 2 | 9*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)/*|1 + ----------| / 2 \ / 2 \ |
| / 2 \ |/ 2 \ 4 2 / 2 \| \ log (2 + x)/ \ log(2 + x)/ 36*\1 + cot (-3 + 2*x)/*\1 + 2*cot (-3 + 2*x)/*cot(-3 + 2*x)|
-2*|24*\1 + cot (-3 + 2*x)/*\\1 + cot (-3 + 2*x)/ + 2*cot (-3 + 2*x) + 7*cot (-3 + 2*x)*\1 + cot (-3 + 2*x)// + --------------------------------------------- + ------------------------------------------------------ + ------------------------------------------------------------|*log(3)
| 3 2 (2 + x)*log(2 + x) |
\ (2 + x) *log(2 + x) (2 + x) *log(2 + x) /
----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
log(2 + x)
$$- \frac{2 \left(\frac{9 \left(1 + \frac{2}{\log{\left(x + 2 \right)}}\right) \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \cot^{2}{\left(2 x - 3 \right)}}{\left(x + 2\right)^{2} \log{\left(x + 2 \right)}} + 24 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \left(\left(\cot^{2}{\left(2 x - 3 \right)} + 1\right)^{2} + 7 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \cot^{2}{\left(2 x - 3 \right)} + 2 \cot^{4}{\left(2 x - 3 \right)}\right) + \frac{36 \left(\cot^{2}{\left(2 x - 3 \right)} + 1\right) \left(2 \cot^{2}{\left(2 x - 3 \right)} + 1\right) \cot{\left(2 x - 3 \right)}}{\left(x + 2\right) \log{\left(x + 2 \right)}} + \frac{\left(1 + \frac{3}{\log{\left(x + 2 \right)}} + \frac{3}{\log{\left(x + 2 \right)}^{2}}\right) \cot^{3}{\left(2 x - 3 \right)}}{\left(x + 2\right)^{3} \log{\left(x + 2 \right)}}\right) \log{\left(3 \right)}}{\log{\left(x + 2 \right)}}$$
Gráfico