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y(x)=-arccos(2x)*e^8x+(sin(5x)/tg(8x))-e^2
Derivada de la función/ y(x)=-arccos(2x)*e^8x+(sin(5x)/tg(8x))-e^2

Derivada de y(x)=-arccos(2x)*e^8x+(sin(5x)/tg(8x))-e^2

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

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Solución

Ha introducido [src] 
            8     sin(5*x)    2
-acos(2*x)*E *x + -------- - E 
                  tan(8*x)
(xe8(−acos⁡(2x))+sin⁡(5x)tan⁡(8x))−e2\left(x e^{8} \left(- \operatorname{acos}{\left(2 x \right)}\right) + \frac{\sin{\left(5 x \right)}}{\tan{\left(8 x \right)}}\right) - e^{2} 
((-acos(2*x))*E^8)*x + sin(5*x)/tan(8*x) - E^2
Gráfica
02468-8-6-4-2-1010-1000010000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
                             /          2     \                     8   
            8   5*cos(5*x)   \-8 - 8*tan (8*x)/*sin(5*x)       2*x*e    
-acos(2*x)*E  + ---------- + --------------------------- + -------------
                 tan(8*x)                2                    __________
                                      tan (8*x)              /        2 
                                                           \/  1 - 4*x
2xe81−4x2+(−8tan⁡2(8x)−8)sin⁡(5x)tan⁡2(8x)+5cos⁡(5x)tan⁡(8x)+e8(−acos⁡(2x))\frac{2 x e^{8}}{\sqrt{1 - 4 x^{2}}} + \frac{\left(- 8 \tan^{2}{\left(8 x \right)} - 8\right) \sin{\left(5 x \right)}}{\tan^{2}{\left(8 x \right)}} + \frac{5 \cos{\left(5 x \right)}}{\tan{\left(8 x \right)}} + e^{8} \left(- \operatorname{acos}{\left(2 x \right)}\right)
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Tercera derivada [src] 
                                                                     3                                                                                                                               2                                2         
                                                      /       2     \                  /       2     \                     8             3  8         /       2     \                 /       2     \                  /       2     \          
       /       2     \            125*cos(5*x)   3072*\1 + tan (8*x)/ *sin(5*x)   1920*\1 + tan (8*x)/*cos(5*x)      32*x*e          96*x *e      600*\1 + tan (8*x)/*sin(5*x)   1920*\1 + tan (8*x)/ *cos(5*x)   5120*\1 + tan (8*x)/ *sin(5*x)
- 2048*\1 + tan (8*x)/*sin(5*x) - ------------ - ------------------------------ - ----------------------------- + ------------- + ------------- + ---------------------------- + ------------------------------ + ------------------------------
                                    tan(8*x)                  4                              tan(8*x)                       3/2             5/2               2                               3                                2                
                                                           tan (8*x)                                              /       2\      /       2\               tan (8*x)                       tan (8*x)                        tan (8*x)           
                                                                                                                  \1 - 4*x /      \1 - 4*x /
96x3e8(1−4x2)52+32xe8(1−4x2)32−3072(tan⁡2(8x)+1)3sin⁡(5x)tan⁡4(8x)+5120(tan⁡2(8x)+1)2sin⁡(5x)tan⁡2(8x)+1920(tan⁡2(8x)+1)2cos⁡(5x)tan⁡3(8x)−2048(tan⁡2(8x)+1)sin⁡(5x)+600(tan⁡2(8x)+1)sin⁡(5x)tan⁡2(8x)−1920(tan⁡2(8x)+1)cos⁡(5x)tan⁡(8x)−125cos⁡(5x)tan⁡(8x)\frac{96 x^{3} e^{8}}{\left(1 - 4 x^{2}\right)^{\frac{5}{2}}} + \frac{32 x e^{8}}{\left(1 - 4 x^{2}\right)^{\frac{3}{2}}} - \frac{3072 \left(\tan^{2}{\left(8 x \right)} + 1\right)^{3} \sin{\left(5 x \right)}}{\tan^{4}{\left(8 x \right)}} + \frac{5120 \left(\tan^{2}{\left(8 x \right)} + 1\right)^{2} \sin{\left(5 x \right)}}{\tan^{2}{\left(8 x \right)}} + \frac{1920 \left(\tan^{2}{\left(8 x \right)} + 1\right)^{2} \cos{\left(5 x \right)}}{\tan^{3}{\left(8 x \right)}} - 2048 \left(\tan^{2}{\left(8 x \right)} + 1\right) \sin{\left(5 x \right)} + \frac{600 \left(\tan^{2}{\left(8 x \right)} + 1\right) \sin{\left(5 x \right)}}{\tan^{2}{\left(8 x \right)}} - \frac{1920 \left(\tan^{2}{\left(8 x \right)} + 1\right) \cos{\left(5 x \right)}}{\tan{\left(8 x \right)}} - \frac{125 \cos{\left(5 x \right)}}{\tan{\left(8 x \right)}}
Simplificar
Gráfico
Derivada de y(x)=-arccos(2x)*e^8x+(sin(5x)/tg(8x))-e^2
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