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tan^4(x^5+2x^3-7)
Derivada de la función/ x^5+2x/ tan^4(x^5+2x^3-7)

Derivada de tan^4(x^5+2x^3-7)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   4/ 5      3    \
tan \x  + 2*x  - 7/
tan⁡4((x5+2x3)−7)\tan^{4}{\left(\left(x^{5} + 2 x^{3}\right) - 7 \right)} 
tan(x^5 + 2*x^3 - 7)^4
Gráfica
02468-8-6-4-2-1010-50000000000000100000000000000
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Trazar el gráfico f'(x)
Primera derivada [src] 
     3/ 5      3    \ /       2/ 5      3    \\ /   4      2\
4*tan \x  + 2*x  - 7/*\1 + tan \x  + 2*x  - 7//*\5*x  + 6*x /
4(5x4+6x2)(tan⁡2((x5+2x3)−7)+1)tan⁡3((x5+2x3)−7)4 \left(5 x^{4} + 6 x^{2}\right) \left(\tan^{2}{\left(\left(x^{5} + 2 x^{3}\right) - 7 \right)} + 1\right) \tan^{3}{\left(\left(x^{5} + 2 x^{3}\right) - 7 \right)}
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Segunda derivada [src] 
                                                    /                                                  2                                       2                           \
       2/      5      3\ /       2/      5      3\\ |  /       2\    /      5      3\      3 /       2\     2/      5      3\      3 /       2\  /       2/      5      3\\|
4*x*tan \-7 + x  + 2*x /*\1 + tan \-7 + x  + 2*x //*\4*\3 + 5*x /*tan\-7 + x  + 2*x / + 2*x *\6 + 5*x / *tan \-7 + x  + 2*x / + 3*x *\6 + 5*x / *\1 + tan \-7 + x  + 2*x ///
4x(tan⁡2(x5+2x3−7)+1)(3x3(5x2+6)2(tan⁡2(x5+2x3−7)+1)+2x3(5x2+6)2tan⁡2(x5+2x3−7)+4(5x2+3)tan⁡(x5+2x3−7))tan⁡2(x5+2x3−7)4 x \left(\tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 1\right) \left(3 x^{3} \left(5 x^{2} + 6\right)^{2} \left(\tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 1\right) + 2 x^{3} \left(5 x^{2} + 6\right)^{2} \tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 4 \left(5 x^{2} + 3\right) \tan{\left(x^{5} + 2 x^{3} - 7 \right)}\right) \tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)}
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Tercera derivada [src] 
                             /                                                   3                                                       2           3                   3                                                                                                                                                                                \                    
  /       2/      5      3\\ |     2/      5      3\ /       2\      6 /       2\     4/      5      3\      6 /       2/      5      3\\  /       2\        6 /       2\     2/      5      3\ /       2/      5      3\\       3    3/      5      3\ /       2\ /       2\       3 /       2/      5      3\\ /       2\ /       2\    /      5      3\|    /      5      3\
8*\1 + tan \-7 + x  + 2*x //*\6*tan \-7 + x  + 2*x /*\1 + 5*x / + 2*x *\6 + 5*x / *tan \-7 + x  + 2*x / + 3*x *\1 + tan \-7 + x  + 2*x // *\6 + 5*x /  + 10*x *\6 + 5*x / *tan \-7 + x  + 2*x /*\1 + tan \-7 + x  + 2*x // + 12*x *tan \-7 + x  + 2*x /*\3 + 5*x /*\6 + 5*x / + 18*x *\1 + tan \-7 + x  + 2*x //*\3 + 5*x /*\6 + 5*x /*tan\-7 + x  + 2*x //*tan\-7 + x  + 2*x /
8(tan⁡2(x5+2x3−7)+1)(3x6(5x2+6)3(tan⁡2(x5+2x3−7)+1)2+10x6(5x2+6)3(tan⁡2(x5+2x3−7)+1)tan⁡2(x5+2x3−7)+2x6(5x2+6)3tan⁡4(x5+2x3−7)+18x3(5x2+3)(5x2+6)(tan⁡2(x5+2x3−7)+1)tan⁡(x5+2x3−7)+12x3(5x2+3)(5x2+6)tan⁡3(x5+2x3−7)+6(5x2+1)tan⁡2(x5+2x3−7))tan⁡(x5+2x3−7)8 \left(\tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 1\right) \left(3 x^{6} \left(5 x^{2} + 6\right)^{3} \left(\tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 1\right)^{2} + 10 x^{6} \left(5 x^{2} + 6\right)^{3} \left(\tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 1\right) \tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 2 x^{6} \left(5 x^{2} + 6\right)^{3} \tan^{4}{\left(x^{5} + 2 x^{3} - 7 \right)} + 18 x^{3} \left(5 x^{2} + 3\right) \left(5 x^{2} + 6\right) \left(\tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)} + 1\right) \tan{\left(x^{5} + 2 x^{3} - 7 \right)} + 12 x^{3} \left(5 x^{2} + 3\right) \left(5 x^{2} + 6\right) \tan^{3}{\left(x^{5} + 2 x^{3} - 7 \right)} + 6 \left(5 x^{2} + 1\right) \tan^{2}{\left(x^{5} + 2 x^{3} - 7 \right)}\right) \tan{\left(x^{5} + 2 x^{3} - 7 \right)}
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Gráfico
Derivada de tan^4(x^5+2x^3-7)
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