Sr Examen

Otras calculadoras

y=(ctg(1/x))^arcsin7x

  • ¿Cómo usar?

  • Derivada de:
  • Derivada de 4*y Derivada de 4*y
  • Derivada de -1/y Derivada de -1/y
  • Derivada de -17x^2 Derivada de -17x^2
  • Derivada de x/x Derivada de x/x

  • 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 la función/ sin7x/ (1/x)/ arcsin/ y=(ctg(1/x))^arcsin7x

Derivada de y=(ctg(1/x))^arcsin7x

Función f() - derivada -er orden en el punto
v

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   asin(7*x)/1\
cot         |-|
            \x/
cot⁡asin⁡(7x)(1x)\cot^{\operatorname{asin}{\left(7 x \right)}}{\left(\frac{1}{x} \right)} 
cot(1/x)^asin(7*x)
Solución detallada

  1. No logro encontrar los pasos en la búsqueda de esta derivada.

    Perola derivada

    (log⁡(asin⁡(7x))+1)asin⁡asin⁡(7x)(7x)\left(\log{\left(\operatorname{asin}{\left(7 x \right)} \right)} + 1\right) \operatorname{asin}^{\operatorname{asin}{\left(7 x \right)}}{\left(7 x \right)}

Respuesta:

(log⁡(asin⁡(7x))+1)asin⁡asin⁡(7x)(7x)\left(\log{\left(\operatorname{asin}{\left(7 x \right)} \right)} + 1\right) \operatorname{asin}^{\operatorname{asin}{\left(7 x \right)}}{\left(7 x \right)}

Gráfica
02468-8-6-4-2-10100500
Trazar el gráfico f(x)
Trazar el gráfico f'(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/        /
(7log⁡(cot⁡(1x))1−49x2−(−cot⁡2(1x)−1)asin⁡(7x)x2cot⁡(1x))cot⁡asin⁡(7x)(1x)\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)}
Simplificar
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//
(343xlog⁡(cot⁡(1x))(1−49x2)32+(7log⁡(cot⁡(1x))1−49x2+(cot⁡2(1x)+1)asin⁡(7x)x2cot⁡(1x))2+14(cot⁡2(1x)+1)x21−49x2cot⁡(1x)−2(cot⁡2(1x)+1)asin⁡(7x)x3cot⁡(1x)−(cot⁡2(1x)+1)2asin⁡(7x)x4cot⁡2(1x)+2(cot⁡2(1x)+1)asin⁡(7x)x4)cot⁡asin⁡(7x)(1x)\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)}
Simplificar
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//
(50421x2log⁡(cot⁡(1x))(1−49x2)52+(7log⁡(cot⁡(1x))1−49x2+(cot⁡2(1x)+1)asin⁡(7x)x2cot⁡(1x))3+3(7log⁡(cot⁡(1x))1−49x2+(cot⁡2(1x)+1)asin⁡(7x)x2cot⁡(1x))(343xlog⁡(cot⁡(1x))(1−49x2)32+14(cot⁡2(1x)+1)x21−49x2cot⁡(1x)−2(cot⁡2(1x)+1)asin⁡(7x)x3cot⁡(1x)−(cot⁡2(1x)+1)2asin⁡(7x)x4cot⁡2(1x)+2(cot⁡2(1x)+1)asin⁡(7x)x4)+343log⁡(cot⁡(1x))(1−49x2)32+1029(cot⁡2(1x)+1)x(1−49x2)32cot⁡(1x)−42(cot⁡2(1x)+1)x31−49x2cot⁡(1x)+6(cot⁡2(1x)+1)asin⁡(7x)x4cot⁡(1x)−21(cot⁡2(1x)+1)2x41−49x2cot⁡2(1x)+42(cot⁡2(1x)+1)x41−49x2+6(cot⁡2(1x)+1)2asin⁡(7x)x5cot⁡2(1x)−12(cot⁡2(1x)+1)asin⁡(7x)x5+2(cot⁡2(1x)+1)3asin⁡(7x)x6cot⁡3(1x)−4(cot⁡2(1x)+1)2asin⁡(7x)x6cot⁡(1x)+4(cot⁡2(1x)+1)cot⁡(1x)asin⁡(7x)x6)cot⁡asin⁡(7x)(1x)\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)}
Simplificar
Gráfico
Derivada de y=(ctg(1/x))^arcsin7x
    © Sr Examen – Калькулятор