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y=cot((2x+3)^2)

Derivada de y=cot((2x+3)^2)

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Solución

Ha introducido [src]
   /         2\
cot\(2*x + 3) /
$$\cot{\left(\left(2 x + 3\right)^{2} \right)}$$
cot((2*x + 3)^2)
Gráfica
Primera derivada [src]
/        2/         2\\           
\-1 - cot \(2*x + 3) //*(12 + 8*x)
$$\left(8 x + 12\right) \left(- \cot^{2}{\left(\left(2 x + 3\right)^{2} \right)} - 1\right)$$
Segunda derivada [src]
  /        2/         2\              2 /       2/         2\\    /         2\\
8*\-1 - cot \(3 + 2*x) / + 4*(3 + 2*x) *\1 + cot \(3 + 2*x) //*cot\(3 + 2*x) //
$$8 \left(4 \left(2 x + 3\right)^{2} \left(\cot^{2}{\left(\left(2 x + 3\right)^{2} \right)} + 1\right) \cot{\left(\left(2 x + 3\right)^{2} \right)} - \cot^{2}{\left(\left(2 x + 3\right)^{2} \right)} - 1\right)$$
Tercera derivada [src]
   /       2/         2\\           /     /         2\              2    2/         2\              2 /       2/         2\\\
64*\1 + cot \(3 + 2*x) //*(3 + 2*x)*\3*cot\(3 + 2*x) / - 4*(3 + 2*x) *cot \(3 + 2*x) / - 2*(3 + 2*x) *\1 + cot \(3 + 2*x) ///
$$64 \left(2 x + 3\right) \left(\cot^{2}{\left(\left(2 x + 3\right)^{2} \right)} + 1\right) \left(- 2 \left(2 x + 3\right)^{2} \left(\cot^{2}{\left(\left(2 x + 3\right)^{2} \right)} + 1\right) - 4 \left(2 x + 3\right)^{2} \cot^{2}{\left(\left(2 x + 3\right)^{2} \right)} + 3 \cot{\left(\left(2 x + 3\right)^{2} \right)}\right)$$
Gráfico
Derivada de y=cot((2x+3)^2)