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е^(4*x)-(cos(2^x+tg(x)))^4
Derivada de la función/ tg(x)/ е^(4*x)/ е^(4*x)-(cos(2^x+tg(x)))^4

Derivada de е^(4*x)-(cos(2^x+tg(x)))^4

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
 4*x      4/ x         \
E    - cos \2  + tan(x)/
e4x−cos⁡4(2x+tan⁡(x))e^{4 x} - \cos^{4}{\left(2^{x} + \tan{\left(x \right)} \right)} 
E^(4*x) - cos(2^x + tan(x))^4
Gráfica
02468-8-6-4-2-1010-10000000000000000001000000000000000000
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Trazar el gráfico f'(x)
Primera derivada [src] 
   4*x        3/ x         \ /       2       x       \    / x         \
4*e    + 4*cos \2  + tan(x)/*\1 + tan (x) + 2 *log(2)/*sin\2  + tan(x)/
4(2xlog⁡(2)+tan⁡2(x)+1)sin⁡(2x+tan⁡(x))cos⁡3(2x+tan⁡(x))+4e4x4 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right) \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} + 4 e^{4 x}
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Segunda derivada [src] 
  /                                  2                                                                                                                           2                                    \
  |   4*x   /       2       x       \     4/ x         \      3/ x         \ / x    2        /       2   \       \    / x         \     /       2       x       \     2/ x         \    2/ x         \|
4*\4*e    + \1 + tan (x) + 2 *log(2)/ *cos \2  + tan(x)/ + cos \2  + tan(x)/*\2 *log (2) + 2*\1 + tan (x)/*tan(x)/*sin\2  + tan(x)/ - 3*\1 + tan (x) + 2 *log(2)/ *cos \2  + tan(x)/*sin \2  + tan(x)//
4((2xlog⁡(2)2+2(tan⁡2(x)+1)tan⁡(x))sin⁡(2x+tan⁡(x))cos⁡3(2x+tan⁡(x))−3(2xlog⁡(2)+tan⁡2(x)+1)2sin⁡2(2x+tan⁡(x))cos⁡2(2x+tan⁡(x))+(2xlog⁡(2)+tan⁡2(x)+1)2cos⁡4(2x+tan⁡(x))+4e4x)4 \left(\left(2^{x} \log{\left(2 \right)}^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} - 3 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2} \sin^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} + \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{2} \cos^{4}{\left(2^{x} + \tan{\left(x \right)} \right)} + 4 e^{4 x}\right)
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Tercera derivada [src] 
  /                            /               2                                       \                                                3                                                                                                                                                       3                                                                                                                                           \
  |    4*x      3/ x         \ |  /       2   \     x    3           2    /       2   \|    / x         \      /       2       x       \     3/ x         \    / x         \        4/ x         \ / x    2        /       2   \       \ /       2       x       \     /       2       x       \     3/ x         \    / x         \        2/ x         \    2/ x         \ / x    2        /       2   \       \ /       2       x       \|
4*\16*e    + cos \2  + tan(x)/*\2*\1 + tan (x)/  + 2 *log (2) + 4*tan (x)*\1 + tan (x)//*sin\2  + tan(x)/ - 10*\1 + tan (x) + 2 *log(2)/ *cos \2  + tan(x)/*sin\2  + tan(x)/ + 3*cos \2  + tan(x)/*\2 *log (2) + 2*\1 + tan (x)/*tan(x)/*\1 + tan (x) + 2 *log(2)/ + 6*\1 + tan (x) + 2 *log(2)/ *sin \2  + tan(x)/*cos\2  + tan(x)/ - 9*cos \2  + tan(x)/*sin \2  + tan(x)/*\2 *log (2) + 2*\1 + tan (x)/*tan(x)/*\1 + tan (x) + 2 *log(2)//
4(−9(2xlog⁡(2)2+2(tan⁡2(x)+1)tan⁡(x))(2xlog⁡(2)+tan⁡2(x)+1)sin⁡2(2x+tan⁡(x))cos⁡2(2x+tan⁡(x))+3(2xlog⁡(2)2+2(tan⁡2(x)+1)tan⁡(x))(2xlog⁡(2)+tan⁡2(x)+1)cos⁡4(2x+tan⁡(x))+6(2xlog⁡(2)+tan⁡2(x)+1)3sin⁡3(2x+tan⁡(x))cos⁡(2x+tan⁡(x))−10(2xlog⁡(2)+tan⁡2(x)+1)3sin⁡(2x+tan⁡(x))cos⁡3(2x+tan⁡(x))+(2xlog⁡(2)3+2(tan⁡2(x)+1)2+4(tan⁡2(x)+1)tan⁡2(x))sin⁡(2x+tan⁡(x))cos⁡3(2x+tan⁡(x))+16e4x)4 \left(- 9 \left(2^{x} \log{\left(2 \right)}^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right) \sin^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{2}{\left(2^{x} + \tan{\left(x \right)} \right)} + 3 \left(2^{x} \log{\left(2 \right)}^{2} + 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)}\right) \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right) \cos^{4}{\left(2^{x} + \tan{\left(x \right)} \right)} + 6 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3} \sin^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} \cos{\left(2^{x} + \tan{\left(x \right)} \right)} - 10 \left(2^{x} \log{\left(2 \right)} + \tan^{2}{\left(x \right)} + 1\right)^{3} \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} + \left(2^{x} \log{\left(2 \right)}^{3} + 2 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} + 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)}\right) \sin{\left(2^{x} + \tan{\left(x \right)} \right)} \cos^{3}{\left(2^{x} + \tan{\left(x \right)} \right)} + 16 e^{4 x}\right)
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Gráfico
Derivada de е^(4*x)-(cos(2^x+tg(x)))^4
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