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Derivada de la función/ y=cot(√x+2x2+1)

Derivada de y=cot(√x+2x2+1)

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

Ha introducido [src] 
   /  ___           \
cot\\/ x  + 2*x2 + 1/
cot⁡((x+2x2)+1)\cot{\left(\left(\sqrt{x} + 2 x_{2}\right) + 1 \right)} 
cot(sqrt(x) + 2*x2 + 1)
Primera derivada [src] 
        2/  ___           \
-1 - cot \\/ x  + 2*x2 + 1/
---------------------------
              ___          
          2*\/ x
−cot⁡2((x+2x2)+1)−12x\frac{- \cot^{2}{\left(\left(\sqrt{x} + 2 x_{2}\right) + 1 \right)} - 1}{2 \sqrt{x}}
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Segunda derivada [src] 
                             /            /      ___       \\
/       2/      ___       \\ | 1     2*cot\1 + \/ x  + 2*x2/|
\1 + cot \1 + \/ x  + 2*x2//*|---- + -----------------------|
                             | 3/2              x           |
                             \x                             /
-------------------------------------------------------------
                              4
(2cot⁡(x+2x2+1)x+1x32)(cot⁡2(x+2x2+1)+1)4\frac{\left(\frac{2 \cot{\left(\sqrt{x} + 2 x_{2} + 1 \right)}}{x} + \frac{1}{x^{\frac{3}{2}}}\right) \left(\cot^{2}{\left(\sqrt{x} + 2 x_{2} + 1 \right)} + 1\right)}{4}
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Tercera derivada [src] 
                              /         /       2/      ___       \\        2/      ___       \        /      ___       \\ 
 /       2/      ___       \\ | 3     2*\1 + cot \1 + \/ x  + 2*x2//   4*cot \1 + \/ x  + 2*x2/   6*cot\1 + \/ x  + 2*x2/| 
-\1 + cot \1 + \/ x  + 2*x2//*|---- + ------------------------------ + ------------------------ + -----------------------| 
                              | 5/2                 3/2                           3/2                         2          | 
                              \x                   x                             x                           x           / 
---------------------------------------------------------------------------------------------------------------------------
                                                             8
−(cot⁡2(x+2x2+1)+1)(6cot⁡(x+2x2+1)x2+2(cot⁡2(x+2x2+1)+1)x32+4cot⁡2(x+2x2+1)x32+3x52)8- \frac{\left(\cot^{2}{\left(\sqrt{x} + 2 x_{2} + 1 \right)} + 1\right) \left(\frac{6 \cot{\left(\sqrt{x} + 2 x_{2} + 1 \right)}}{x^{2}} + \frac{2 \left(\cot^{2}{\left(\sqrt{x} + 2 x_{2} + 1 \right)} + 1\right)}{x^{\frac{3}{2}}} + \frac{4 \cot^{2}{\left(\sqrt{x} + 2 x_{2} + 1 \right)}}{x^{\frac{3}{2}}} + \frac{3}{x^{\frac{5}{2}}}\right)}{8}
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