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y=tanh√x
Derivada de la función/ y=tan/ y=tanh√x

Derivada de y=tanh√x

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

Ha introducido [src] 
    /  ___\
tanh\\/ x /
tanh⁡(x)\tanh{\left(\sqrt{x} \right)} 
tanh(sqrt(x))
Gráfica
02468-8-6-4-2-101002
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Primera derivada [src] 
        2/  ___\
1 - tanh \\/ x /
----------------
        ___     
    2*\/ x
1−tanh⁡2(x)2x\frac{1 - \tanh^{2}{\left(\sqrt{x} \right)}}{2 \sqrt{x}}
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Segunda derivada [src] 
                    /             /  ___\\
/         2/  ___\\ | 1     2*tanh\\/ x /|
\-1 + tanh \\/ x //*|---- + -------------|
                    | 3/2         x      |
                    \x                   /
------------------------------------------
                    4
(2tanh⁡(x)x+1x32)(tanh⁡2(x)−1)4\frac{\left(\frac{2 \tanh{\left(\sqrt{x} \right)}}{x} + \frac{1}{x^{\frac{3}{2}}}\right) \left(\tanh^{2}{\left(\sqrt{x} \right)} - 1\right)}{4}
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Tercera derivada [src] 
                     /         /         2/  ___\\         2/  ___\         /  ___\\ 
 /         2/  ___\\ | 3     2*\-1 + tanh \\/ x //   4*tanh \\/ x /   6*tanh\\/ x /| 
-\-1 + tanh \\/ x //*|---- + --------------------- + -------------- + -------------| 
                     | 5/2             3/2                 3/2               2     | 
                     \x               x                   x                 x      / 
-------------------------------------------------------------------------------------
                                          8
−(tanh⁡2(x)−1)(6tanh⁡(x)x2+2(tanh⁡2(x)−1)x32+4tanh⁡2(x)x32+3x52)8- \frac{\left(\tanh^{2}{\left(\sqrt{x} \right)} - 1\right) \left(\frac{6 \tanh{\left(\sqrt{x} \right)}}{x^{2}} + \frac{2 \left(\tanh^{2}{\left(\sqrt{x} \right)} - 1\right)}{x^{\frac{3}{2}}} + \frac{4 \tanh^{2}{\left(\sqrt{x} \right)}}{x^{\frac{3}{2}}} + \frac{3}{x^{\frac{5}{2}}}\right)}{8}
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Gráfico
Derivada de y=tanh√x
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