Sr Examen

Otras calculadoras

y=ctg(8x^3+7x^2+x)
Derivada de la función/ x^2+x/ x^3+7x/ y=ctg/ y=ctg(8x^3+7x^2+x)

Derivada de y=ctg(8x^3+7x^2+x)

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

Gráfico:

interior superior

Definida a trozos:

Solución

Ha introducido [src] 
   /   3      2    \
cot\8*x  + 7*x  + x/
cot⁡(x+(8x3+7x2))\cot{\left(x + \left(8 x^{3} + 7 x^{2}\right) \right)} 
cot(8*x^3 + 7*x^2 + x)
Gráfica
02468-8-6-4-2-1010-5000000050000000
Trazar el gráfico f(x)
Trazar el gráfico f'(x)
Primera derivada [src] 
/        2/   3      2    \\ /               2\
\-1 - cot \8*x  + 7*x  + x//*\1 + 14*x + 24*x /
(−cot⁡2(x+(8x3+7x2))−1)(24x2+14x+1)\left(- \cot^{2}{\left(x + \left(8 x^{3} + 7 x^{2}\right) \right)} - 1\right) \left(24 x^{2} + 14 x + 1\right)
Simplificar
Segunda derivada [src] 
                                 /                              2                        \
  /       2/  /             2\\\ |            /               2\     /  /             2\\|
2*\1 + cot \x*\1 + 7*x + 8*x ///*\-7 - 24*x + \1 + 14*x + 24*x / *cot\x*\1 + 7*x + 8*x ///
2(cot⁡2(x(8x2+7x+1))+1)(−24x+(24x2+14x+1)2cot⁡(x(8x2+7x+1))−7)2 \left(\cot^{2}{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} + 1\right) \left(- 24 x + \left(24 x^{2} + 14 x + 1\right)^{2} \cot{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} - 7\right)
Simplificar
Tercera derivada [src] 
  /                                                                  2                   3                       3                                                                                                                                                 \
  |            2/  /             2\\   /       2/  /             2\\\  /               2\      /               2\     2/  /             2\\ /       2/  /             2\\\     /       2/  /             2\\\            /               2\    /  /             2\\|
2*\-24 - 24*cot \x*\1 + 7*x + 8*x // - \1 + cot \x*\1 + 7*x + 8*x /// *\1 + 14*x + 24*x /  - 2*\1 + 14*x + 24*x / *cot \x*\1 + 7*x + 8*x //*\1 + cot \x*\1 + 7*x + 8*x /// + 6*\1 + cot \x*\1 + 7*x + 8*x ///*(7 + 24*x)*\1 + 14*x + 24*x /*cot\x*\1 + 7*x + 8*x ///
2(6(24x+7)(cot⁡2(x(8x2+7x+1))+1)(24x2+14x+1)cot⁡(x(8x2+7x+1))−(cot⁡2(x(8x2+7x+1))+1)2(24x2+14x+1)3−2(cot⁡2(x(8x2+7x+1))+1)(24x2+14x+1)3cot⁡2(x(8x2+7x+1))−24cot⁡2(x(8x2+7x+1))−24)2 \left(6 \left(24 x + 7\right) \left(\cot^{2}{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} + 1\right) \left(24 x^{2} + 14 x + 1\right) \cot{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} - \left(\cot^{2}{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} + 1\right)^{2} \left(24 x^{2} + 14 x + 1\right)^{3} - 2 \left(\cot^{2}{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} + 1\right) \left(24 x^{2} + 14 x + 1\right)^{3} \cot^{2}{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} - 24 \cot^{2}{\left(x \left(8 x^{2} + 7 x + 1\right) \right)} - 24\right)
Simplificar
Gráfico
Derivada de y=ctg(8x^3+7x^2+x)
    © Sr Examen – Калькулятор