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y=5^(ctg2x)
Derivada de la función/ ctg2x/ y=5^(ctg2x)

Derivada de y=5^(ctg2x)

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Ha introducido [src] 
 cot(2*x)
5
$$5^{\cot{\left(2 x \right)}}$$ 
5^cot(2*x)
Gráfica
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Trazar el gráfico f'(x)
Primera derivada [src] 
 cot(2*x) /          2     \       
5        *\-2 - 2*cot (2*x)/*log(5)
$$5^{\cot{\left(2 x \right)}} \left(- 2 \cot^{2}{\left(2 x \right)} - 2\right) \log{\left(5 \right)}$$
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Segunda derivada [src] 
   cot(2*x) /       2     \ /             /       2     \       \       
4*5        *\1 + cot (2*x)/*\2*cot(2*x) + \1 + cot (2*x)/*log(5)/*log(5)
$$4 \cdot 5^{\cot{\left(2 x \right)}} \left(\left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(5 \right)} + 2 \cot{\left(2 x \right)}\right) \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(5 \right)}$$
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Tercera derivada [src] 
                             /                                 2                                            \       
    cot(2*x) /       2     \ |         2        /       2     \     2        /       2     \                |       
-8*5        *\1 + cot (2*x)/*\2 + 6*cot (2*x) + \1 + cot (2*x)/ *log (5) + 6*\1 + cot (2*x)/*cot(2*x)*log(5)/*log(5)
$$- 8 \cdot 5^{\cot{\left(2 x \right)}} \left(\cot^{2}{\left(2 x \right)} + 1\right) \left(\left(\cot^{2}{\left(2 x \right)} + 1\right)^{2} \log{\left(5 \right)}^{2} + 6 \left(\cot^{2}{\left(2 x \right)} + 1\right) \log{\left(5 \right)} \cot{\left(2 x \right)} + 6 \cot^{2}{\left(2 x \right)} + 2\right) \log{\left(5 \right)}$$
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Gráfico
Derivada de y=5^(ctg2x)
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