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 16/x
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Derivative of e^(sin(1-3*x)^(2))
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Derivative of (1+x)/(4-x^2)
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Derivative of 2*sqrt(x^3)
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Identical expressions
- y=lnchx
- y equally lnchx
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Similar expressions
- y=arctg^3(ln(chx)+(1/2ch^2*x))
- ln(ch(x)^n)
- y=x*arctg(*chx)+(*chx)ln*chx
Derivative of y=lnchx
The solution
The first derivative
[src]
sinh(x) ------- cosh(x)
$$\frac{\sinh{\left(x \right)}}{\cosh{\left(x \right)}}$$
The second derivative
[src]
2
sinh (x)
1 - --------
2
cosh (x)
$$- \frac{\sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} + 1$$
The third derivative
[src]
/ 2 \
| sinh (x)|
2*|-1 + --------|*sinh(x)
| 2 |
\ cosh (x)/
-------------------------
cosh(x)
$$\frac{2 \left(\frac{\sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} - 1\right) \sinh{\left(x \right)}}{\cosh{\left(x \right)}}$$
The graph