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y=tg^5(x+2)*arccos(3x^2)
Derivada de la función/ (x+2)/ arccos/ y=tg^5/ y=tg^5(x+2)*arccos(3x^2)

Derivada de y=tg^5(x+2)*arccos(3x^2)

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

Gráfico:

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Definida a trozos:

Solución

Ha introducido [src] 
   5            /   2\
tan (x + 2)*acos\3*x /
tan⁡5(x+2)acos⁡(3x2)\tan^{5}{\left(x + 2 \right)} \operatorname{acos}{\left(3 x^{2} \right)} 
tan(x + 2)^5*acos(3*x^2)
Gráfica
02468-8-6-4-2-101040000000-20000000
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Primera derivada [src] 
                                                    5       
   4        /         2       \     /   2\   6*x*tan (x + 2)
tan (x + 2)*\5 + 5*tan (x + 2)/*acos\3*x / - ---------------
                                                 __________ 
                                                /        4  
                                              \/  1 - 9*x
−6xtan⁡5(x+2)1−9x4+(5tan⁡2(x+2)+5)tan⁡4(x+2)acos⁡(3x2)- \frac{6 x \tan^{5}{\left(x + 2 \right)}}{\sqrt{1 - 9 x^{4}}} + \left(5 \tan^{2}{\left(x + 2 \right)} + 5\right) \tan^{4}{\left(x + 2 \right)} \operatorname{acos}{\left(3 x^{2} \right)}
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Segunda derivada [src] 
              /              /           4  \                                                                                         \
              |     2        |       18*x   |                                                                                         |
              |3*tan (2 + x)*|-1 + ---------|                                                                                         |
              |              |             4|                                                             /       2       \           |
     3        |              \     -1 + 9*x /     /       2       \ /         2       \     /   2\   30*x*\1 + tan (2 + x)/*tan(2 + x)|
2*tan (2 + x)*|------------------------------ + 5*\1 + tan (2 + x)/*\2 + 3*tan (2 + x)/*acos\3*x / - ---------------------------------|
              |           __________                                                                              __________          |
              |          /        4                                                                              /        4           |
              \        \/  1 - 9*x                                                                             \/  1 - 9*x            /
2(−30x(tan⁡2(x+2)+1)tan⁡(x+2)1−9x4+5(tan⁡2(x+2)+1)(3tan⁡2(x+2)+2)acos⁡(3x2)+3(18x49x4−1−1)tan⁡2(x+2)1−9x4)tan⁡3(x+2)2 \left(- \frac{30 x \left(\tan^{2}{\left(x + 2 \right)} + 1\right) \tan{\left(x + 2 \right)}}{\sqrt{1 - 9 x^{4}}} + 5 \left(\tan^{2}{\left(x + 2 \right)} + 1\right) \left(3 \tan^{2}{\left(x + 2 \right)} + 2\right) \operatorname{acos}{\left(3 x^{2} \right)} + \frac{3 \left(\frac{18 x^{4}}{9 x^{4} - 1} - 1\right) \tan^{2}{\left(x + 2 \right)}}{\sqrt{1 - 9 x^{4}}}\right) \tan^{3}{\left(x + 2 \right)}
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Tercera derivada [src] 
              /                                                                                                                                            /           4  \                     /           4  \                                                        \
              |                                                                                                                 2        /       2       \ |       18*x   |       3    3        |       54*x   |                                                        |
              |                                                                                                           45*tan (2 + x)*\1 + tan (2 + x)/*|-1 + ---------|   54*x *tan (2 + x)*|-5 + ---------|                                                        |
              |                    /                                   2                                   \                                               |             4|                     |             4|        /       2       \ /         2       \           |
     2        |  /       2       \ |     4            /       2       \          2        /       2       \|     /   2\                                    \     -1 + 9*x /                     \     -1 + 9*x /   90*x*\1 + tan (2 + x)/*\2 + 3*tan (2 + x)/*tan(2 + x)|
2*tan (2 + x)*|5*\1 + tan (2 + x)/*\2*tan (2 + x) + 6*\1 + tan (2 + x)/  + 13*tan (2 + x)*\1 + tan (2 + x)//*acos\3*x / + ------------------------------------------------- + ---------------------------------- - -----------------------------------------------------|
              |                                                                                                                                __________                                         3/2                                     __________                    |
              |                                                                                                                               /        4                                /       4\                                       /        4                     |
              \                                                                                                                             \/  1 - 9*x                                 \1 - 9*x /                                     \/  1 - 9*x                      /
2(54x3(54x49x4−1−5)tan⁡3(x+2)(1−9x4)32−90x(tan⁡2(x+2)+1)(3tan⁡2(x+2)+2)tan⁡(x+2)1−9x4+5(tan⁡2(x+2)+1)(6(tan⁡2(x+2)+1)2+13(tan⁡2(x+2)+1)tan⁡2(x+2)+2tan⁡4(x+2))acos⁡(3x2)+45(18x49x4−1−1)(tan⁡2(x+2)+1)tan⁡2(x+2)1−9x4)tan⁡2(x+2)2 \left(\frac{54 x^{3} \left(\frac{54 x^{4}}{9 x^{4} - 1} - 5\right) \tan^{3}{\left(x + 2 \right)}}{\left(1 - 9 x^{4}\right)^{\frac{3}{2}}} - \frac{90 x \left(\tan^{2}{\left(x + 2 \right)} + 1\right) \left(3 \tan^{2}{\left(x + 2 \right)} + 2\right) \tan{\left(x + 2 \right)}}{\sqrt{1 - 9 x^{4}}} + 5 \left(\tan^{2}{\left(x + 2 \right)} + 1\right) \left(6 \left(\tan^{2}{\left(x + 2 \right)} + 1\right)^{2} + 13 \left(\tan^{2}{\left(x + 2 \right)} + 1\right) \tan^{2}{\left(x + 2 \right)} + 2 \tan^{4}{\left(x + 2 \right)}\right) \operatorname{acos}{\left(3 x^{2} \right)} + \frac{45 \left(\frac{18 x^{4}}{9 x^{4} - 1} - 1\right) \left(\tan^{2}{\left(x + 2 \right)} + 1\right) \tan^{2}{\left(x + 2 \right)}}{\sqrt{1 - 9 x^{4}}}\right) \tan^{2}{\left(x + 2 \right)}
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Gráfico
Derivada de y=tg^5(x+2)*arccos(3x^2)
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