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y=coth(ln(√x))
Derivada de la función/ ln(√x)/ y=coth(ln(√x))

Derivada de y=coth(ln(√x))

Función f() - derivada -er orden en el punto
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Gráfico:

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Solución

Ha introducido [src] 
    /   /  ___\\
coth\log\\/ x //
coth⁡(log⁡(x))\coth{\left(\log{\left(\sqrt{x} \right)} \right)} 
coth(log(sqrt(x)))
Gráfica
02468-8-6-4-2-1010-250250
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Trazar el gráfico f'(x)
Primera derivada [src] 
         -1          
---------------------
        2/   /  ___\\
2*x*sinh \log\\/ x //
−12xsinh⁡2(log⁡(x))- \frac{1}{2 x \sinh^{2}{\left(\log{\left(\sqrt{x} \right)} \right)}}
Simplificar
Segunda derivada [src] 
         /   /  ___\\ 
     cosh\log\\/ x // 
 1 + ---------------- 
         /   /  ___\\ 
     sinh\log\\/ x // 
----------------------
   2     2/   /  ___\\
2*x *sinh \log\\/ x //
1+cosh⁡(log⁡(x))sinh⁡(log⁡(x))2x2sinh⁡2(log⁡(x))\frac{1 + \frac{\cosh{\left(\log{\left(\sqrt{x} \right)} \right)}}{\sinh{\left(\log{\left(\sqrt{x} \right)} \right)}}}{2 x^{2} \sinh^{2}{\left(\log{\left(\sqrt{x} \right)} \right)}}
Simplificar
Tercera derivada [src] 
   /        2/   /  ___\\         /   /  ___\\\
   |    cosh \log\\/ x //   2*cosh\log\\/ x //|
-3*|1 + ----------------- + ------------------|
   |        2/   /  ___\\        /   /  ___\\ |
   \    sinh \log\\/ x //    sinh\log\\/ x // /
-----------------------------------------------
                3     2/   /  ___\\            
             4*x *sinh \log\\/ x //
−3(1+2cosh⁡(log⁡(x))sinh⁡(log⁡(x))+cosh⁡2(log⁡(x))sinh⁡2(log⁡(x)))4x3sinh⁡2(log⁡(x))- \frac{3 \left(1 + \frac{2 \cosh{\left(\log{\left(\sqrt{x} \right)} \right)}}{\sinh{\left(\log{\left(\sqrt{x} \right)} \right)}} + \frac{\cosh^{2}{\left(\log{\left(\sqrt{x} \right)} \right)}}{\sinh^{2}{\left(\log{\left(\sqrt{x} \right)} \right)}}\right)}{4 x^{3} \sinh^{2}{\left(\log{\left(\sqrt{x} \right)} \right)}}
Simplificar
Gráfico
Derivada de y=coth(ln(√x))
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