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y=ctg(x-7)-tgx^2-49/x+7

Derivada de y=ctg(x-7)-tgx^2-49/x+7

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

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Solución

Ha introducido [src]
                2      49    
cot(x - 7) - tan (x) - -- + 7
                       x     
$$\left(\left(- \tan^{2}{\left(x \right)} + \cot{\left(x - 7 \right)}\right) - \frac{49}{x}\right) + 7$$
cot(x - 7) - tan(x)^2 - 49/x + 7
Gráfica
Primera derivada [src]
        2          49   /         2   \       
-1 - cot (x - 7) + -- - \2 + 2*tan (x)/*tan(x)
                    2                         
                   x                          
$$- \left(2 \tan^{2}{\left(x \right)} + 2\right) \tan{\left(x \right)} - \cot^{2}{\left(x - 7 \right)} - 1 + \frac{49}{x^{2}}$$
Segunda derivada [src]
  /               2                                                                \
  |  /       2   \    49   /       2        \                    2    /       2   \|
2*|- \1 + tan (x)/  - -- + \1 + cot (-7 + x)/*cot(-7 + x) - 2*tan (x)*\1 + tan (x)/|
  |                    3                                                           |
  \                   x                                                            /
$$2 \left(- \left(\tan^{2}{\left(x \right)} + 1\right)^{2} - 2 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{2}{\left(x \right)} + \left(\cot^{2}{\left(x - 7 \right)} + 1\right) \cot{\left(x - 7 \right)} - \frac{49}{x^{3}}\right)$$
Tercera derivada [src]
  /                    2                        2                                                                     \
  |  /       2        \    147     /       2   \                3    /       2   \        2         /       2        \|
2*|- \1 + cot (-7 + x)/  + --- - 8*\1 + tan (x)/ *tan(x) - 4*tan (x)*\1 + tan (x)/ - 2*cot (-7 + x)*\1 + cot (-7 + x)/|
  |                          4                                                                                        |
  \                         x                                                                                         /
$$2 \left(- 8 \left(\tan^{2}{\left(x \right)} + 1\right)^{2} \tan{\left(x \right)} - 4 \left(\tan^{2}{\left(x \right)} + 1\right) \tan^{3}{\left(x \right)} - \left(\cot^{2}{\left(x - 7 \right)} + 1\right)^{2} - 2 \left(\cot^{2}{\left(x - 7 \right)} + 1\right) \cot^{2}{\left(x - 7 \right)} + \frac{147}{x^{4}}\right)$$
Gráfico
Derivada de y=ctg(x-7)-tgx^2-49/x+7