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(3*x)^(2)
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Derivative of -cos(2*x)
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Derivative of atan(sqrt(x))
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Derivative of atan(2*x)
- Integral of d{x}:
- atan(2*x)
- Limit of the function:
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atan(2*x)
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Identical expressions
- atan(two *x)
- arc tangent of gent of (2 multiply by x)
- arc tangent of gent of (two multiply by x)
- atan(2x)
- atan2x
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Similar expressions
- (1/7)*(4+(12/p)*atan(2x))
- 1/6+(1/3^(1/2))*atan((2x-1)/3^1/2)
- arctan(2*x)
Derivative of atan(2*x)
The solution
The second derivative
[src]
-16*x
-----------
2
/ 2\
\1 + 4*x /
$$- \frac{16 x}{\left(4 x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 16*x |
16*|-1 + --------|
| 2|
\ 1 + 4*x /
------------------
2
/ 2\
\1 + 4*x /
$$\frac{16 \left(\frac{16 x^{2}}{4 x^{2} + 1} - 1\right)}{\left(4 x^{2} + 1\right)^{2}}$$
The graph