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сtg^7(x)*arccos(2x^3)

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  • Derivada de:
  • Derivada de 8 Derivada de 8
  • Derivada de x^12 Derivada de x^12
  • Derivada de (x+3)/(x-2) Derivada de (x+3)/(x-2)
  • Derivada de x*e^(1/x) Derivada de x*e^(1/x)

  • Expresiones idénticas

  • сtg^ siete (x)*arccos(2x^ tres)
  • сtg en el grado 7(x) multiplicar por arc coseno de (2x al cubo )
  • сtg en el grado siete (x) multiplicar por arc coseno de (2x en el grado tres)
  • сtg7(x)*arccos(2x3)
  • сtg7x*arccos2x3
  • сtg⁷(x)*arccos(2x³)
  • сtg en el grado 7(x)*arccos(2x en el grado 3)
  • сtg^7(x)arccos(2x^3)
  • сtg7(x)arccos(2x3)
  • сtg7xarccos2x3
  • сtg^7xarccos2x^3
Derivada de la función/ arccos/ сtg^7(x)*arccos(2x^3)

Derivada de сtg^7(x)*arccos(2x^3)

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

Gráfico:

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Solución

Ha introducido [src] 
   7        /   3\
cot (x)*acos\2*x /
cot⁡7(x)acos⁡(2x3)\cot^{7}{\left(x \right)} \operatorname{acos}{\left(2 x^{3} \right)} 
cot(x)^7*acos(2*x^3)
Gráfica
02468-8-6-4-2-1010-20000000001000000000
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Trazar el gráfico f'(x)
Primera derivada [src] 
                                          2    7   
   6    /          2   \     /   3\    6*x *cot (x)
cot (x)*\-7 - 7*cot (x)/*acos\2*x / - -------------
                                         __________
                                        /        6 
                                      \/  1 - 4*x
−6x2cot⁡7(x)1−4x6+(−7cot⁡2(x)−7)cot⁡6(x)acos⁡(2x3)- \frac{6 x^{2} \cot^{7}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + \left(- 7 \cot^{2}{\left(x \right)} - 7\right) \cot^{6}{\left(x \right)} \operatorname{acos}{\left(2 x^{3} \right)}
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Segunda derivada [src] 
          /                                                         /           6  \                             \
          |                                                    2    |        6*x   |                             |
          |                                             6*x*cot (x)*|-1 + ---------|                             |
          |                                                         |             6|       2 /       2   \       |
     5    |  /       2   \ /         2   \     /   3\               \     -1 + 4*x /   42*x *\1 + cot (x)/*cot(x)|
2*cot (x)*|7*\1 + cot (x)/*\3 + 4*cot (x)/*acos\2*x / + ---------------------------- + --------------------------|
          |                                                       __________                    __________       |
          |                                                      /        6                    /        6        |
          \                                                    \/  1 - 4*x                   \/  1 - 4*x         /
2(42x2(cot⁡2(x)+1)cot⁡(x)1−4x6+6x(6x64x6−1−1)cot⁡2(x)1−4x6+7(cot⁡2(x)+1)(4cot⁡2(x)+3)acos⁡(2x3))cot⁡5(x)2 \left(\frac{42 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \cot{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + \frac{6 x \left(\frac{6 x^{6}}{4 x^{6} - 1} - 1\right) \cot^{2}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + 7 \left(\cot^{2}{\left(x \right)} + 1\right) \left(4 \cot^{2}{\left(x \right)} + 3\right) \operatorname{acos}{\left(2 x^{3} \right)}\right) \cot^{5}{\left(x \right)}
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Tercera derivada [src] 
           /          /          6            12   \                                                                                                                                                                                     \
           |     3    |      54*x        216*x     |                                                                                                                       /           6  \                                              |
           |6*cot (x)*|1 - --------- + ------------|                                                                                                    2    /       2   \ |        6*x   |                                              |
           |          |            6              2|                                                                                           126*x*cot (x)*\1 + cot (x)/*|-1 + ---------|                                              |
           |          |    -1 + 4*x    /        6\ |                   /                            2                           \                                          |             6|        2 /       2   \ /         2   \       |
      4    |          \                \-1 + 4*x / /     /       2   \ |     4         /       2   \          2    /       2   \|     /   3\                               \     -1 + 4*x /   126*x *\1 + cot (x)/*\3 + 4*cot (x)/*cot(x)|
-2*cot (x)*|---------------------------------------- + 7*\1 + cot (x)/*\2*cot (x) + 15*\1 + cot (x)/  + 19*cot (x)*\1 + cot (x)//*acos\2*x / + -------------------------------------------- + -------------------------------------------|
           |                __________                                                                                                                           __________                                     __________               |
           |               /        6                                                                                                                           /        6                                     /        6                |
           \             \/  1 - 4*x                                                                                                                          \/  1 - 4*x                                    \/  1 - 4*x                 /
−2(126x2(cot⁡2(x)+1)(4cot⁡2(x)+3)cot⁡(x)1−4x6+126x(6x64x6−1−1)(cot⁡2(x)+1)cot⁡2(x)1−4x6+7(cot⁡2(x)+1)(15(cot⁡2(x)+1)2+19(cot⁡2(x)+1)cot⁡2(x)+2cot⁡4(x))acos⁡(2x3)+6(216x12(4x6−1)2−54x64x6−1+1)cot⁡3(x)1−4x6)cot⁡4(x)- 2 \left(\frac{126 x^{2} \left(\cot^{2}{\left(x \right)} + 1\right) \left(4 \cot^{2}{\left(x \right)} + 3\right) \cot{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + \frac{126 x \left(\frac{6 x^{6}}{4 x^{6} - 1} - 1\right) \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}} + 7 \left(\cot^{2}{\left(x \right)} + 1\right) \left(15 \left(\cot^{2}{\left(x \right)} + 1\right)^{2} + 19 \left(\cot^{2}{\left(x \right)} + 1\right) \cot^{2}{\left(x \right)} + 2 \cot^{4}{\left(x \right)}\right) \operatorname{acos}{\left(2 x^{3} \right)} + \frac{6 \left(\frac{216 x^{12}}{\left(4 x^{6} - 1\right)^{2}} - \frac{54 x^{6}}{4 x^{6} - 1} + 1\right) \cot^{3}{\left(x \right)}}{\sqrt{1 - 4 x^{6}}}\right) \cot^{4}{\left(x \right)}
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Gráfico
Derivada de сtg^7(x)*arccos(2x^3)
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