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y=tg^4x+arccos5x^3
Derivada de la función/ cos5x/ arccos/ y=tg^4/ y=tg^4x+arccos5x^3

Derivada de y=tg^4x+arccos5x^3

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
   4          3     
tan (x) + acos (5*x)
tan⁡4(x)+acos⁡3(5x)\tan^{4}{\left(x \right)} + \operatorname{acos}^{3}{\left(5 x \right)} 
tan(x)^4 + acos(5*x)^3
Gráfica
02468-8-6-4-2-1010-100000000100000000
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Trazar el gráfico f'(x)
Primera derivada [src] 
                                 2      
   3    /         2   \   15*acos (5*x) 
tan (x)*\4 + 4*tan (x)/ - --------------
                             ___________
                            /         2 
                          \/  1 - 25*x
(4tan⁡2(x)+4)tan⁡3(x)−15acos⁡2(5x)1−25x2\left(4 \tan^{2}{\left(x \right)} + 4\right) \tan^{3}{\left(x \right)} - \frac{15 \operatorname{acos}^{2}{\left(5 x \right)}}{\sqrt{1 - 25 x^{2}}}
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Segunda derivada [src] 
                                                            2                     2     
  150*acos(5*x)        4    /       2   \      /       2   \     2      375*x*acos (5*x)
- ------------- + 8*tan (x)*\1 + tan (x)/ + 12*\1 + tan (x)/ *tan (x) - ----------------
             2                                                                      3/2 
    -1 + 25*x                                                            /        2\    
                                                                         \1 - 25*x /
−375xacos⁡2(5x)(1−25x2)32+12(tan⁡2(x)+1)2tan⁡2(x)+8(tan⁡2(x)+1)tan⁡4(x)−150acos⁡(5x)25x2−1- \frac{375 x \operatorname{acos}^{2}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} + 12 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{2}{\left(x \right)} + 8 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{4}{\left(x \right)} - \frac{150 \operatorname{acos}{\left(5 x \right)}}{25 x^{2} - 1}
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Tercera derivada [src] 
                           2                                                   3                          2                  2     2                         
       750         375*acos (5*x)         5    /       2   \      /       2   \              /       2   \     3      28125*x *acos (5*x)   11250*x*acos(5*x)
- -------------- - -------------- + 16*tan (x)*\1 + tan (x)/ + 24*\1 + tan (x)/ *tan(x) + 80*\1 + tan (x)/ *tan (x) - ------------------- + -----------------
             3/2              3/2                                                                                                   5/2                   2  
  /        2\      /        2\                                                                                           /        2\          /         2\   
  \1 - 25*x /      \1 - 25*x /                                                                                           \1 - 25*x /          \-1 + 25*x /
−28125x2acos⁡2(5x)(1−25x2)52+11250xacos⁡(5x)(25x2−1)2+24(tan⁡2(x)+1)3tan⁡(x)+80(tan⁡2(x)+1)2tan⁡3(x)+16(tan⁡2(x)+1)tan⁡5(x)−375acos⁡2(5x)(1−25x2)32−750(1−25x2)32- \frac{28125 x^{2} \operatorname{acos}^{2}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{5}{2}}} + \frac{11250 x \operatorname{acos}{\left(5 x \right)}}{\left(25 x^{2} - 1\right)^{2}} + 24 \left(\tan^{2}{\left(x \right)} + 1\right)^{3} \tan{\left(x \right)} + 80 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan^{3}{\left(x \right)} + 16 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{5}{\left(x \right)} - \frac{375 \operatorname{acos}^{2}{\left(5 x \right)}}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}} - \frac{750}{\left(1 - 25 x^{2}\right)^{\frac{3}{2}}}
Simplificar
Gráfico
Derivada de y=tg^4x+arccos5x^3
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