Mister Exam
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- 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=2x+3
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Derivative of ln(x+5)^5
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Derivative of (3-2*x)*cos(x)
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Derivative of x^3-x+3
- Limit of the function:
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atan(t)
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Identical expressions
- atan(t)
- arc tangent of gent of (t)
- atant
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Similar expressions
- atan(t*(1-e^(3*x))^2)
- (ln(tan(x)^2+1)-2tanx*atan(tanx)-ln(e^(2x+2)+1)+2*e^(x+1)*atan(e^(x+1)))/2
- arctan(t)
Derivative of atan(t)
The solution
You have entered
[src]
atan(t)
$$\operatorname{atan}{\left(t \right)}$$
d --(atan(t)) dt
$$\frac{d}{d t} \operatorname{atan}{\left(t \right)}$$
The second derivative
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-2*t
---------
2
/ 2\
\1 + t /
$$- \frac{2 t}{\left(t^{2} + 1\right)^{2}}$$
The third derivative
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/ 2 \
| 4*t |
2*|-1 + ------|
| 2|
\ 1 + t /
---------------
2
/ 2\
\1 + t /
$$\frac{2 \cdot \left(\frac{4 t^{2}}{t^{2} + 1} - 1\right)}{\left(t^{2} + 1\right)^{2}}$$
The graph