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Сh(3x^(4/3)+5)

Derivada de Сh(3x^(4/3)+5)

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Solución

Ha introducido [src]
    /   4/3    \
cosh\3*x    + 5/
$$\cosh{\left(3 x^{\frac{4}{3}} + 5 \right)}$$
cosh(3*x^(4/3) + 5)
Gráfica
Primera derivada [src]
  3 ___     /   4/3    \
4*\/ x *sinh\3*x    + 5/
$$4 \sqrt[3]{x} \sinh{\left(3 x^{\frac{4}{3}} + 5 \right)}$$
Segunda derivada [src]
  /                              /       4/3\\
  |   2/3     /       4/3\   sinh\5 + 3*x   /|
4*|4*x   *cosh\5 + 3*x   / + ----------------|
  |                                  2/3     |
  \                               3*x        /
$$4 \left(4 x^{\frac{2}{3}} \cosh{\left(3 x^{\frac{4}{3}} + 5 \right)} + \frac{\sinh{\left(3 x^{\frac{4}{3}} + 5 \right)}}{3 x^{\frac{2}{3}}}\right)$$
Tercera derivada [src]
  /      /       4/3\                              /       4/3\\
  |2*cosh\5 + 3*x   /           /       4/3\   sinh\5 + 3*x   /|
8*|------------------ + 8*x*sinh\5 + 3*x   / - ----------------|
  |      3 ___                                         5/3     |
  \      \/ x                                       9*x        /
$$8 \left(8 x \sinh{\left(3 x^{\frac{4}{3}} + 5 \right)} + \frac{2 \cosh{\left(3 x^{\frac{4}{3}} + 5 \right)}}{\sqrt[3]{x}} - \frac{\sinh{\left(3 x^{\frac{4}{3}} + 5 \right)}}{9 x^{\frac{5}{3}}}\right)$$
Gráfico
Derivada de Сh(3x^(4/3)+5)