Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Derivative of:
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Derivative of y=5x-6
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Derivative of x^6*e^x
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Derivative of x^5/5
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Derivative of x^5-5*x^3-20*x
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Identical expressions
- shx·ctg(2x)
- shx·ctg2x
Derivative of shx·ctg(2x)
The solution
You have entered
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sinh(x)*cot(2*x)
$$\cot{\left(2 x \right)} \sinh{\left(x \right)}$$
sinh(x)*cot(2*x)
The first derivative
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/ 2 \ \-2 - 2*cot (2*x)/*sinh(x) + cosh(x)*cot(2*x)
$$\left(- 2 \cot^{2}{\left(2 x \right)} - 2\right) \sinh{\left(x \right)} + \cot{\left(2 x \right)} \cosh{\left(x \right)}$$
The second derivative
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/ 2 \ / 2 \ cot(2*x)*sinh(x) - 4*\1 + cot (2*x)/*cosh(x) + 8*\1 + cot (2*x)/*cot(2*x)*sinh(x)
$$8 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cot{\left(2 x \right)} \sinh{\left(x \right)} - 4 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cosh{\left(x \right)} + \cot{\left(2 x \right)} \sinh{\left(x \right)}$$
The third derivative
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/ 2 \ / 2 \ / 2 \ / 2 \ cosh(x)*cot(2*x) - 6*\1 + cot (2*x)/*sinh(x) - 16*\1 + cot (2*x)/*\1 + 3*cot (2*x)/*sinh(x) + 24*\1 + cot (2*x)/*cosh(x)*cot(2*x)
$$- 16 \left(\cot^{2}{\left(2 x \right)} + 1\right) \left(3 \cot^{2}{\left(2 x \right)} + 1\right) \sinh{\left(x \right)} + 24 \left(\cot^{2}{\left(2 x \right)} + 1\right) \cot{\left(2 x \right)} \cosh{\left(x \right)} - 6 \left(\cot^{2}{\left(2 x \right)} + 1\right) \sinh{\left(x \right)} + \cot{\left(2 x \right)} \cosh{\left(x \right)}$$