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:
-
Derivative of e^x/x^2
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Derivative of cos(x)/x^2
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Derivative of cos(sqrt(x))
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Derivative of cos(1/x)
- Integral of d{x}:
- arctg(x/2)
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Identical expressions
- arctg(x/ two)
- arctg(x divide by 2)
- arctg(x divide by two)
- arctgx/2
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Similar expressions
- (2)^(1/2)/3arctg(x/(2)^(1/2))+1/6log((x-1)/(x+1))
- arctgx/2
- y=arctgx/2
Derivative of arctg(x/2)
The solution
You have entered
[src]
/x\
atan|-|
\2/
$$\operatorname{atan}{\left(\frac{x}{2} \right)}$$
d / /x\\ --|atan|-|| dx\ \2//
$$\frac{d}{d x} \operatorname{atan}{\left(\frac{x}{2} \right)}$$
The first derivative
[src]
1 ---------- / 2\ | x | 2*|1 + --| \ 4 /
$$\frac{1}{2 \left(\frac{x^{2}}{4} + 1\right)}$$
The second derivative
[src]
-x
-----------
2
/ 2\
| x |
4*|1 + --|
\ 4 /
$$- \frac{x}{4 \left(\frac{x^{2}}{4} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 4*x |
4*|-1 + ------|
| 2|
\ 4 + x /
---------------
2
/ 2\
\4 + x /
$$\frac{4 \cdot \left(\frac{4 x^{2}}{x^{2} + 4} - 1\right)}{\left(x^{2} + 4\right)^{2}}$$
The graph