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 1/(x+3)
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Derivada de 4*y
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Derivada de (-1)/x-3*x
- Derivada de y=ax
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Expresiones idénticas
- y=((dos ctg2x-3tg3x))*arcsin((x+ uno)/(x+2))
- y es igual a ((2ctg2x menos 3tg3x)) multiplicar por arc seno de ((x más 1) dividir por (x más 2))
- y es igual a ((dos ctg2x menos 3tg3x)) multiplicar por arc seno de ((x más uno) dividir por (x más 2))
- y=((2ctg2x-3tg3x))arcsin((x+1)/(x+2))
- y=2ctg2x-3tg3xarcsinx+1/x+2
- y=((2ctg2x-3tg3x))*arcsin((x+1) dividir por (x+2))
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Expresiones semejantes
- y=((2ctg2x+3tg3x))*arcsin((x+1)/(x+2))
- y=((2ctg2x-3tg3x))*arcsin((x-1)/(x+2))
- y=((2ctg2x-3tg3x))*arcsin((x+1)/(x-2))
Derivada de y=((2ctg2x-3tg3x))*arcsin((x+1)/(x+2))
Solución
Ha introducido
[src]
/x + 1\
(2*cot(2*x) - 3*tan(3*x))*asin|-----|
\x + 2/
$$\left(- 3 \tan{\left(3 x \right)} + 2 \cot{\left(2 x \right)}\right) \operatorname{asin}{\left(\frac{x + 1}{x + 2} \right)}$$
(2*cot(2*x) - 3*tan(3*x))*asin((x + 1)/(x + 2))
Primera derivada
[src]
/ 1 x + 1 \
|----- - --------|*(2*cot(2*x) - 3*tan(3*x))
|x + 2 2|
/ 2 2 \ /x + 1\ \ (x + 2) /
\-13 - 9*tan (3*x) - 4*cot (2*x)/*asin|-----| + --------------------------------------------
\x + 2/ ______________
/ 2
/ (x + 1)
/ 1 - --------
/ 2
\/ (x + 2)
$$\frac{\left(- \frac{x + 1}{\left(x + 2\right)^{2}} + \frac{1}{x + 2}\right) \left(- 3 \tan{\left(3 x \right)} + 2 \cot{\left(2 x \right)}\right)}{\sqrt{- \frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} + 1}} + \left(- 9 \tan^{2}{\left(3 x \right)} - 4 \cot^{2}{\left(2 x \right)} - 13\right) \operatorname{asin}{\left(\frac{x + 1}{x + 2} \right)}$$
Segunda derivada
[src]
/ / 1 + x\ \
| (1 + x)*|-1 + -----| |
/ 1 + x\ | \ 2 + x/ |
|-1 + -----|*|-2 + -----------------------|*(-2*cot(2*x) + 3*tan(3*x))
\ 2 + x/ | / 2\ |
| | (1 + x) | |
/ 1 + x\ / 2 2 \ | |-1 + --------|*(2 + x)|
2*|-1 + -----|*\13 + 4*cot (2*x) + 9*tan (3*x)/ | | 2| |
/ / 2 \ / 2 \ \ /1 + x\ \ 2 + x/ \ \ (2 + x) / /
- 2*\- 8*\1 + cot (2*x)/*cot(2*x) + 27*\1 + tan (3*x)/*tan(3*x)/*asin|-----| + ----------------------------------------------- + ----------------------------------------------------------------------
\2 + x/ ______________ ______________
/ 2 / 2
/ (1 + x) / (1 + x) 2
/ 1 - -------- *(2 + x) / 1 - -------- *(2 + x)
/ 2 / 2
\/ (2 + x) \/ (2 + x)
$$- 2 \left(27 \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan{\left(3 x \right)} - 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cot{\left(2 x \right)}\right) \operatorname{asin}{\left(\frac{x + 1}{x + 2} \right)} + \frac{2 \left(\frac{x + 1}{x + 2} - 1\right) \left(9 \tan^{2}{\left(3 x \right)} + 4 \cot^{2}{\left(2 x \right)} + 13\right)}{\left(x + 2\right) \sqrt{- \frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} + 1}} + \frac{\left(\frac{x + 1}{x + 2} - 1\right) \left(\frac{\left(x + 1\right) \left(\frac{x + 1}{x + 2} - 1\right)}{\left(x + 2\right) \left(\frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} - 1\right)} - 2\right) \left(3 \tan{\left(3 x \right)} - 2 \cot{\left(2 x \right)}\right)}{\left(x + 2\right)^{2} \sqrt{- \frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} + 1}}$$
Tercera derivada
[src]
/ 2 \
| 4*(1 + x) 3*(1 + x) 2|
| 1 - --------- + ---------- / 1 + x\ 2 / 1 + x\ |
| 2 + x 2 4*(1 + x)*|-1 + -----| 3*(1 + x) *|-1 + -----| | / / 1 + x\ \
/ 1 + x\ | (2 + x) \ 2 + x/ \ 2 + x/ | | (1 + x)*|-1 + -----| |
|-1 + -----|*(-2*cot(2*x) + 3*tan(3*x))*|6 - -------------------------- - ----------------------- + -------------------------| / 1 + x\ | \ 2 + x/ | / 2 2 \
\ 2 + x/ | 2 / 2\ 2 | 3*|-1 + -----|*|-2 + -----------------------|*\13 + 4*cot (2*x) + 9*tan (3*x)/
| (1 + x) | (1 + x) | / 2\ | \ 2 + x/ | / 2\ |
| -1 + -------- |-1 + --------|*(2 + x) | (1 + x) | 2| | | (1 + x) | |
/ 1 + x\ / / 2 \ / 2 \ \ | 2 | 2| |-1 + --------| *(2 + x) | | |-1 + --------|*(2 + x)|
/ 2 2 \ 6*|-1 + -----|*\- 8*\1 + cot (2*x)/*cot(2*x) + 27*\1 + tan (3*x)/*tan(3*x)/ | (2 + x) \ (2 + x) / | 2| | | | 2| |
| / 2 \ / 2 \ 2 / 2 \ 2 / 2 \| /1 + x\ \ 2 + x/ \ \ (2 + x) / / \ \ (2 + x) / /
- 2*\16*\1 + cot (2*x)/ + 81*\1 + tan (3*x)/ + 32*cot (2*x)*\1 + cot (2*x)/ + 162*tan (3*x)*\1 + tan (3*x)//*asin|-----| + --------------------------------------------------------------------------- + ------------------------------------------------------------------------------------------------------------------------------ + ------------------------------------------------------------------------------
\2 + x/ ______________ ______________ ______________
/ 2 / 2 / 2
/ (1 + x) / (1 + x) 3 / (1 + x) 2
/ 1 - -------- *(2 + x) / 1 - -------- *(2 + x) / 1 - -------- *(2 + x)
/ 2 / 2 / 2
\/ (2 + x) \/ (2 + x) \/ (2 + x)
$$- 2 \left(81 \left(\tan^{2}{\left(3 x \right)} + 1\right)^{2} + 162 \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan^{2}{\left(3 x \right)} + 16 \left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} + 32 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cot^{2}{\left(2 x \right)}\right) \operatorname{asin}{\left(\frac{x + 1}{x + 2} \right)} + \frac{6 \left(\frac{x + 1}{x + 2} - 1\right) \left(27 \left(\tan^{2}{\left(3 x \right)} + 1\right) \tan{\left(3 x \right)} - 8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cot{\left(2 x \right)}\right)}{\left(x + 2\right) \sqrt{- \frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} + 1}} + \frac{3 \left(\frac{x + 1}{x + 2} - 1\right) \left(\frac{\left(x + 1\right) \left(\frac{x + 1}{x + 2} - 1\right)}{\left(x + 2\right) \left(\frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} - 1\right)} - 2\right) \left(9 \tan^{2}{\left(3 x \right)} + 4 \cot^{2}{\left(2 x \right)} + 13\right)}{\left(x + 2\right)^{2} \sqrt{- \frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} + 1}} + \frac{\left(\frac{x + 1}{x + 2} - 1\right) \left(3 \tan{\left(3 x \right)} - 2 \cot{\left(2 x \right)}\right) \left(\frac{3 \left(x + 1\right)^{2} \left(\frac{x + 1}{x + 2} - 1\right)^{2}}{\left(x + 2\right)^{2} \left(\frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} - 1\right)^{2}} - \frac{4 \left(x + 1\right) \left(\frac{x + 1}{x + 2} - 1\right)}{\left(x + 2\right) \left(\frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} - 1\right)} + 6 - \frac{\frac{3 \left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} - \frac{4 \left(x + 1\right)}{x + 2} + 1}{\frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} - 1}\right)}{\left(x + 2\right)^{3} \sqrt{- \frac{\left(x + 1\right)^{2}}{\left(x + 2\right)^{2}} + 1}}$$
Gráfico