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  • Derivada de:
  • Derivada de e^((3*x)^2)
  • Derivada de d/dx(x) Derivada de d/dx(x)
  • Derivada de (cos(x))^x^2 Derivada de (cos(x))^x^2
  • Derivada de (8*x-15)^5 Derivada de (8*x-15)^5

  • Expresiones idénticas

  • x*(ln(dos *x- uno))^ dos +exp^(cuatro *(tan(siete *x))^ dos)
  • x multiplicar por (ln(2 multiplicar por x menos 1)) al cuadrado más exponente de en el grado (4 multiplicar por ( tangente de (7 multiplicar por x)) al cuadrado )
  • x multiplicar por (ln(dos multiplicar por x menos uno)) en el grado dos más exponente de en el grado (cuatro multiplicar por ( tangente de (siete multiplicar por x)) en el grado dos)
  • x*(ln(2*x-1))2+exp(4*(tan(7*x))2)
  • x*ln2*x-12+exp4*tan7*x2
  • x*(ln(2*x-1))²+exp^(4*(tan(7*x))²)
  • x*(ln(2*x-1)) en el grado 2+exp en el grado (4*(tan(7*x)) en el grado 2)
  • x(ln(2x-1))^2+exp^(4(tan(7x))^2)
  • x(ln(2x-1))2+exp(4(tan(7x))2)
  • xln2x-12+exp4tan7x2
  • xln2x-1^2+exp^4tan7x^2

  • Expresiones semejantes

  • x*(ln(2*x-1))^2-exp^(4*(tan(7*x))^2)
  • x*(ln(2*x+1))^2+exp^(4*(tan(7*x))^2)
Derivada de la función/ x*(ln(2*x-1))^2+exp^(4*(tan(7*x))^2)

Derivada de x*(ln(2*x-1))^2+exp^(4*(tan(7*x))^2)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
                        2     
     2             4*tan (7*x)
x*log (2*x - 1) + E
$$x \log{\left(2 x - 1 \right)}^{2} + e^{4 \tan^{2}{\left(7 x \right)}}$$ 
x*log(2*x - 1)^2 + E^(4*tan(7*x)^2)
Primera derivada [src] 
                                                               2              
   2            4*x*log(2*x - 1)     /           2     \  4*tan (7*x)         
log (2*x - 1) + ---------------- + 4*\14 + 14*tan (7*x)/*e           *tan(7*x)
                    2*x - 1
$$\frac{4 x \log{\left(2 x - 1 \right)}}{2 x - 1} + 4 \left(14 \tan^{2}{\left(7 x \right)} + 14\right) e^{4 \tan^{2}{\left(7 x \right)}} \tan{\left(7 x \right)} + \log{\left(2 x - 1 \right)}^{2}$$
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Segunda derivada [src] 
  /                                                2       2                                                             2                           2                 2     \
  |     x        log(-1 + 2*x)      /       2     \   4*tan (7*x)   x*log(-1 + 2*x)         2      /       2     \  4*tan (7*x)       /       2     \     2       4*tan (7*x)|
8*|----------- + ------------- + 49*\1 + tan (7*x)/ *e            - --------------- + 98*tan (7*x)*\1 + tan (7*x)/*e            + 392*\1 + tan (7*x)/ *tan (7*x)*e           |
  |          2      -1 + 2*x                                                    2                                                                                            |
  \(-1 + 2*x)                                                         (-1 + 2*x)                                                                                             /
$$8 \left(- \frac{x \log{\left(2 x - 1 \right)}}{\left(2 x - 1\right)^{2}} + \frac{x}{\left(2 x - 1\right)^{2}} + 392 \left(\tan^{2}{\left(7 x \right)} + 1\right)^{2} e^{4 \tan^{2}{\left(7 x \right)}} \tan^{2}{\left(7 x \right)} + 49 \left(\tan^{2}{\left(7 x \right)} + 1\right)^{2} e^{4 \tan^{2}{\left(7 x \right)}} + 98 \left(\tan^{2}{\left(7 x \right)} + 1\right) e^{4 \tan^{2}{\left(7 x \right)}} \tan^{2}{\left(7 x \right)} + \frac{\log{\left(2 x - 1 \right)}}{2 x - 1}\right)$$
Simplificar
Tercera derivada [src] 
  /                                                                                                       2                            2       2                                     3       2                                      2                 2                             3                 2     \
  |     3            6*x       3*log(-1 + 2*x)   4*x*log(-1 + 2*x)           3      /       2     \  4*tan (7*x)        /       2     \   4*tan (7*x)                 /       2     \   4*tan (7*x)                  /       2     \     3       4*tan (7*x)         /       2     \     3       4*tan (7*x)|
8*|----------- - ----------- - --------------- + ----------------- + 1372*tan (7*x)*\1 + tan (7*x)/*e            + 2744*\1 + tan (7*x)/ *e           *tan(7*x) + 8232*\1 + tan (7*x)/ *e           *tan(7*x) + 16464*\1 + tan (7*x)/ *tan (7*x)*e            + 21952*\1 + tan (7*x)/ *tan (7*x)*e           |
  |          2             3               2                  3                                                                                                                                                                                                                                             |
  \(-1 + 2*x)    (-1 + 2*x)      (-1 + 2*x)         (-1 + 2*x)                                                                                                                                                                                                                                              /
$$8 \left(\frac{4 x \log{\left(2 x - 1 \right)}}{\left(2 x - 1\right)^{3}} - \frac{6 x}{\left(2 x - 1\right)^{3}} + 21952 \left(\tan^{2}{\left(7 x \right)} + 1\right)^{3} e^{4 \tan^{2}{\left(7 x \right)}} \tan^{3}{\left(7 x \right)} + 8232 \left(\tan^{2}{\left(7 x \right)} + 1\right)^{3} e^{4 \tan^{2}{\left(7 x \right)}} \tan{\left(7 x \right)} + 16464 \left(\tan^{2}{\left(7 x \right)} + 1\right)^{2} e^{4 \tan^{2}{\left(7 x \right)}} \tan^{3}{\left(7 x \right)} + 2744 \left(\tan^{2}{\left(7 x \right)} + 1\right)^{2} e^{4 \tan^{2}{\left(7 x \right)}} \tan{\left(7 x \right)} + 1372 \left(\tan^{2}{\left(7 x \right)} + 1\right) e^{4 \tan^{2}{\left(7 x \right)}} \tan^{3}{\left(7 x \right)} - \frac{3 \log{\left(2 x - 1 \right)}}{\left(2 x - 1\right)^{2}} + \frac{3}{\left(2 x - 1\right)^{2}}\right)$$
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