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y=arccos(x)-3^x+(3x-4)/(ln(x))-6x^4*tg(x)
Derivada de la función/ y=arccos(x)-3^x+(3x-4)/(ln(x))-6x^4*tg(x)

Derivada de y=arccos(x)-3^x+(3x-4)/(ln(x))-6x^4*tg(x)

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

Ha introducido [src] 
           x   3*x - 4      4       
acos(x) - 3  + ------- - 6*x *tan(x)
                log(x)
−6x4tan⁡(x)+((−3x+acos⁡(x))+3x−4log⁡(x))- 6 x^{4} \tan{\left(x \right)} + \left(\left(- 3^{x} + \operatorname{acos}{\left(x \right)}\right) + \frac{3 x - 4}{\log{\left(x \right)}}\right) 
acos(x) - 3^x + (3*x - 4)/log(x) - 6*x^4*tan(x)
Gráfica
02468-8-6-4-2-1010-50000005000000
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Primera derivada [src] 
       1          3       x              3             4 /       2   \    3*x - 4 
- ----------- + ------ - 3 *log(3) - 24*x *tan(x) - 6*x *\1 + tan (x)/ - ---------
     ________   log(x)                                                        2   
    /      2                                                             x*log (x)
  \/  1 - x
−3xlog⁡(3)−6x4(tan⁡2(x)+1)−24x3tan⁡(x)+3log⁡(x)−11−x2−3x−4xlog⁡(x)2- 3^{x} \log{\left(3 \right)} - 6 x^{4} \left(\tan^{2}{\left(x \right)} + 1\right) - 24 x^{3} \tan{\left(x \right)} + \frac{3}{\log{\left(x \right)}} - \frac{1}{\sqrt{1 - x^{2}}} - \frac{3 x - 4}{x \log{\left(x \right)}^{2}}
Simplificar
Segunda derivada [src] 
       x         x    2          2              3 /       2   \       6        -4 + 3*x        4 /       2   \          2*(-4 + 3*x)
- ----------- - 3 *log (3) - 72*x *tan(x) - 48*x *\1 + tan (x)/ - --------- + ---------- - 12*x *\1 + tan (x)/*tan(x) + ------------
          3/2                                                          2       2    2                                     2    3    
  /     2\                                                        x*log (x)   x *log (x)                                 x *log (x) 
  \1 - x /
−3xlog⁡(3)2−12x4(tan⁡2(x)+1)tan⁡(x)−48x3(tan⁡2(x)+1)−72x2tan⁡(x)−x(1−x2)32−6xlog⁡(x)2+3x−4x2log⁡(x)2+2(3x−4)x2log⁡(x)3- 3^{x} \log{\left(3 \right)}^{2} - 12 x^{4} \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - 48 x^{3} \left(\tan^{2}{\left(x \right)} + 1\right) - 72 x^{2} \tan{\left(x \right)} - \frac{x}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{6}{x \log{\left(x \right)}^{2}} + \frac{3 x - 4}{x^{2} \log{\left(x \right)}^{2}} + \frac{2 \left(3 x - 4\right)}{x^{2} \log{\left(x \right)}^{3}}
Simplificar
Tercera derivada [src] 
                                                                                      2          2                                                                                                                                      
       1         x    3           2 /       2   \                      4 /       2   \        3*x           9            18            3 /       2   \              4    2    /       2   \   6*(-4 + 3*x)   6*(-4 + 3*x)   2*(-4 + 3*x)
- ----------- - 3 *log (3) - 216*x *\1 + tan (x)/ - 144*x*tan(x) - 12*x *\1 + tan (x)/  - ----------- + ---------- + ---------- - 144*x *\1 + tan (x)/*tan(x) - 24*x *tan (x)*\1 + tan (x)/ - ------------ - ------------ - ------------
          3/2                                                                                     5/2    2    2       2    3                                                                    3    4         3    3         3    2    
  /     2\                                                                                /     2\      x *log (x)   x *log (x)                                                                x *log (x)     x *log (x)     x *log (x) 
  \1 - x /                                                                                \1 - x /
−3xlog⁡(3)3−12x4(tan⁡2(x)+1)2−24x4(tan⁡2(x)+1)tan⁡2(x)−144x3(tan⁡2(x)+1)tan⁡(x)−216x2(tan⁡2(x)+1)−3x2(1−x2)52−144xtan⁡(x)−1(1−x2)32+9x2log⁡(x)2+18x2log⁡(x)3−2(3x−4)x3log⁡(x)2−6(3x−4)x3log⁡(x)3−6(3x−4)x3log⁡(x)4- 3^{x} \log{\left(3 \right)}^{3} - 12 x^{4} \left(\tan^{2}{\left(x \right)} + 1\right)^{2} - 24 x^{4} \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} - 144 x^{3} \left(\tan^{2}{\left(x \right)} + 1\right) \tan{\left(x \right)} - 216 x^{2} \left(\tan^{2}{\left(x \right)} + 1\right) - \frac{3 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} - 144 x \tan{\left(x \right)} - \frac{1}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{9}{x^{2} \log{\left(x \right)}^{2}} + \frac{18}{x^{2} \log{\left(x \right)}^{3}} - \frac{2 \left(3 x - 4\right)}{x^{3} \log{\left(x \right)}^{2}} - \frac{6 \left(3 x - 4\right)}{x^{3} \log{\left(x \right)}^{3}} - \frac{6 \left(3 x - 4\right)}{x^{3} \log{\left(x \right)}^{4}}
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Gráfico
Derivada de y=arccos(x)-3^x+(3x-4)/(ln(x))-6x^4*tg(x)
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