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
-
¿Cómo usar?
- Derivada de:
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Derivada de 1/t
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Derivada de x^(2/5)
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Derivada de 1/ln(x)
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Derivada de f(x)=√x
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Expresiones idénticas
- y=((ctg(uno /x)))^arcsin7x
- y es igual a ((ctg(1 dividir por x))) en el grado arc seno de 7x
- y es igual a ((ctg(uno dividir por x))) en el grado arc seno de 7x
- y=((ctg(1/x)))arcsin7x
- y=ctg1/xarcsin7x
- y=ctg1/x^arcsin7x
- y=((ctg(1 dividir por x)))^arcsin7x
Derivada de y=((ctg(1/x)))^arcsin7x
Solución
Ha introducido
[src]
asin(7*x)/1\
cot |-|
\x/
$$\cot^{\operatorname{asin}{\left(7 x \right)}}{\left(\frac{1}{x} \right)}$$
cot(1/x)^asin(7*x)
Primera derivada
[src]
/ / /1\\ / 2/1\\ \
|7*log|cot|-|| |-1 - cot |-||*asin(7*x)|
asin(7*x)/1\ | \ \x// \ \x// |
cot |-|*|-------------- - ------------------------|
\x/ | ___________ 2 /1\ |
| / 2 x *cot|-| |
\\/ 1 - 49*x \x/ /
$$\left(\frac{7 \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\sqrt{1 - 49 x^{2}}} - \frac{\left(- \cot^{2}{\left(\frac{1}{x} \right)} - 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{2} \cot{\left(\frac{1}{x} \right)}}\right) \cot^{\operatorname{asin}{\left(7 x \right)}}{\left(\frac{1}{x} \right)}$$
Segunda derivada
[src]
/ 2 2 \
|/ / /1\\ / 2/1\\ \ / 2/1\\ / /1\\ / 2/1\\ / 2/1\\ / 2/1\\ |
||7*log|cot|-|| |1 + cot |-||*asin(7*x)| 2*|1 + cot |-||*asin(7*x) 343*x*log|cot|-|| |1 + cot |-|| *asin(7*x) 2*|1 + cot |-||*asin(7*x) 14*|1 + cot |-|| |
asin(7*x)/1\ || \ \x// \ \x// | \ \x// \ \x// \ \x// \ \x// \ \x// |
cot |-|*||-------------- + -----------------------| + ------------------------- + ----------------- - ------------------------ - ------------------------- + ------------------------|
\x/ || ___________ 2 /1\ | 4 3/2 4 2/1\ 3 /1\ ___________ |
|| / 2 x *cot|-| | x / 2\ x *cot |-| x *cot|-| 2 / 2 /1\|
|\\/ 1 - 49*x \x/ / \1 - 49*x / \x/ \x/ x *\/ 1 - 49*x *cot|-||
\ \x//
$$\left(\frac{343 x \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \left(\frac{7 \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\sqrt{1 - 49 x^{2}}} + \frac{\left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{2} \cot{\left(\frac{1}{x} \right)}}\right)^{2} + \frac{14 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{2} \sqrt{1 - 49 x^{2}} \cot{\left(\frac{1}{x} \right)}} - \frac{2 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{3} \cot{\left(\frac{1}{x} \right)}} - \frac{\left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)^{2} \operatorname{asin}{\left(7 x \right)}}{x^{4} \cot^{2}{\left(\frac{1}{x} \right)}} + \frac{2 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{4}}\right) \cot^{\operatorname{asin}{\left(7 x \right)}}{\left(\frac{1}{x} \right)}$$
Tercera derivada
[src]
/ 3 / 2 \ 2 2 3 2 \
|/ / /1\\ / 2/1\\ \ / / /1\\ / 2/1\\ \ | / 2/1\\ / /1\\ / 2/1\\ / 2/1\\ / 2/1\\ | / /1\\ / 2/1\\ / 2/1\\ 2 / /1\\ / 2/1\\ / 2/1\\ / 2/1\\ / 2/1\\ / 2/1\\ /1\ / 2/1\\ / 2/1\\ / 2/1\\ |
||7*log|cot|-|| |1 + cot |-||*asin(7*x)| |7*log|cot|-|| |1 + cot |-||*asin(7*x)| |2*|1 + cot |-||*asin(7*x) 343*x*log|cot|-|| |1 + cot |-|| *asin(7*x) 2*|1 + cot |-||*asin(7*x) 14*|1 + cot |-|| | 343*log|cot|-|| 12*|1 + cot |-||*asin(7*x) 42*|1 + cot |-|| 50421*x *log|cot|-|| 42*|1 + cot |-|| 21*|1 + cot |-|| 4*|1 + cot |-|| *asin(7*x) 2*|1 + cot |-|| *asin(7*x) 4*|1 + cot |-||*asin(7*x)*cot|-| 6*|1 + cot |-|| *asin(7*x) 6*|1 + cot |-||*asin(7*x) 1029*|1 + cot |-|| |
asin(7*x)/1\ || \ \x// \ \x// | | \ \x// \ \x// | | \ \x// \ \x// \ \x// \ \x// \ \x// | \ \x// \ \x// \ \x// \ \x// \ \x// \ \x// \ \x// \ \x// \ \x// \x/ \ \x// \ \x// \ \x// |
cot |-|*||-------------- + -----------------------| + 3*|-------------- + -----------------------|*|------------------------- + ----------------- - ------------------------ - ------------------------- + ------------------------| + --------------- - -------------------------- + ----------------- + -------------------- - ------------------------ - ------------------------- - -------------------------- + -------------------------- + -------------------------------- + -------------------------- + ------------------------- + -----------------------|
\x/ || ___________ 2 /1\ | | ___________ 2 /1\ | | 4 3/2 4 2/1\ 3 /1\ ___________ | 3/2 5 ___________ 5/2 ___________ ___________ 6 /1\ 6 3/1\ 6 5 2/1\ 4 /1\ 3/2 |
|| / 2 x *cot|-| | | / 2 x *cot|-| | | x / 2\ x *cot |-| x *cot|-| 2 / 2 /1\| / 2\ x 4 / 2 / 2\ 3 / 2 /1\ 4 / 2 2/1\ x *cot|-| x *cot |-| x x *cot |-| x *cot|-| / 2\ /1\|
|\\/ 1 - 49*x \x/ / \\/ 1 - 49*x \x/ / | \1 - 49*x / \x/ \x/ x *\/ 1 - 49*x *cot|-|| \1 - 49*x / x *\/ 1 - 49*x \1 - 49*x / x *\/ 1 - 49*x *cot|-| x *\/ 1 - 49*x *cot |-| \x/ \x/ \x/ \x/ x*\1 - 49*x / *cot|-||
\ \ \x// \x/ \x/ \x//
$$\left(\frac{50421 x^{2} \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\left(1 - 49 x^{2}\right)^{\frac{5}{2}}} + \left(\frac{7 \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\sqrt{1 - 49 x^{2}}} + \frac{\left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{2} \cot{\left(\frac{1}{x} \right)}}\right)^{3} + 3 \left(\frac{7 \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\sqrt{1 - 49 x^{2}}} + \frac{\left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{2} \cot{\left(\frac{1}{x} \right)}}\right) \left(\frac{343 x \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{14 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{2} \sqrt{1 - 49 x^{2}} \cot{\left(\frac{1}{x} \right)}} - \frac{2 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{3} \cot{\left(\frac{1}{x} \right)}} - \frac{\left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)^{2} \operatorname{asin}{\left(7 x \right)}}{x^{4} \cot^{2}{\left(\frac{1}{x} \right)}} + \frac{2 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{4}}\right) + \frac{343 \log{\left(\cot{\left(\frac{1}{x} \right)} \right)}}{\left(1 - 49 x^{2}\right)^{\frac{3}{2}}} + \frac{1029 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x \left(1 - 49 x^{2}\right)^{\frac{3}{2}} \cot{\left(\frac{1}{x} \right)}} - \frac{42 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{3} \sqrt{1 - 49 x^{2}} \cot{\left(\frac{1}{x} \right)}} + \frac{6 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{4} \cot{\left(\frac{1}{x} \right)}} - \frac{21 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)^{2}}{x^{4} \sqrt{1 - 49 x^{2}} \cot^{2}{\left(\frac{1}{x} \right)}} + \frac{42 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)}{x^{4} \sqrt{1 - 49 x^{2}}} + \frac{6 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)^{2} \operatorname{asin}{\left(7 x \right)}}{x^{5} \cot^{2}{\left(\frac{1}{x} \right)}} - \frac{12 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \operatorname{asin}{\left(7 x \right)}}{x^{5}} + \frac{2 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)^{3} \operatorname{asin}{\left(7 x \right)}}{x^{6} \cot^{3}{\left(\frac{1}{x} \right)}} - \frac{4 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right)^{2} \operatorname{asin}{\left(7 x \right)}}{x^{6} \cot{\left(\frac{1}{x} \right)}} + \frac{4 \left(\cot^{2}{\left(\frac{1}{x} \right)} + 1\right) \cot{\left(\frac{1}{x} \right)} \operatorname{asin}{\left(7 x \right)}}{x^{6}}\right) \cot^{\operatorname{asin}{\left(7 x \right)}}{\left(\frac{1}{x} \right)}$$
Gráfico