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 cos(x)^(25)
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Derivative of ch(x)
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Derivative of tgx^2
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Derivative of sqrt(x^2-25)
- Integral of d{x}:
- cschx
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Identical expressions
- cschx
Derivative of cschx
The solution
The first derivative
[src]
-coth(x)*csch(x)
$$- \coth{\left(x \right)} \operatorname{csch}{\left(x \right)}$$
The second derivative
[src]
/ 2 1 \ |coth (x) + --------|*csch(x) | 2 | \ sinh (x)/
$$\left(\coth^{2}{\left(x \right)} + \frac{1}{\sinh^{2}{\left(x \right)}}\right) \operatorname{csch}{\left(x \right)}$$
The third derivative
[src]
/ 3 2*cosh(x) 3*coth(x)\ -|coth (x) + --------- + ---------|*csch(x) | 3 2 | \ sinh (x) sinh (x)/
$$- \left(\coth^{3}{\left(x \right)} + \frac{3 \coth{\left(x \right)}}{\sinh^{2}{\left(x \right)}} + \frac{2 \cosh{\left(x \right)}}{\sinh^{3}{\left(x \right)}}\right) \operatorname{csch}{\left(x \right)}$$
The graph