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 (4x-3)^2
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Derivative of -sin(x)+cos(x)
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Derivative of ln(x)+x
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Derivative of e^x/x+1
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Identical expressions
- three ^atan(two *x)
- 3 to the power of arc tangent of gent of (2 multiply by x)
- three to the power of arc tangent of gent of (two multiply by x)
- 3atan(2*x)
- 3atan2*x
- 3^atan(2x)
- 3atan(2x)
- 3atan2x
- 3^atan2x
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Similar expressions
- 3^arctan(2*x)
Derivative of 3^atan(2*x)
The solution
The first derivative
[src]
atan(2*x)
2*3 *log(3)
-------------------
2
1 + 4*x
$$\frac{2 \cdot 3^{\operatorname{atan}{\left(2 x \right)}} \log{\left(3 \right)}}{4 x^{2} + 1}$$
The second derivative
[src]
atan(2*x)
4*3 *(-4*x + log(3))*log(3)
-----------------------------------
2
/ 2\
\1 + 4*x /
$$\frac{4 \cdot 3^{\operatorname{atan}{\left(2 x \right)}} \left(- 4 x + \log{\left(3 \right)}\right) \log{\left(3 \right)}}{\left(4 x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 2 \
atan(2*x) | log (3) 32*x 12*x*log(3)|
8*3 *|-2 + -------- + -------- - -----------|*log(3)
| 2 2 2 |
\ 1 + 4*x 1 + 4*x 1 + 4*x /
------------------------------------------------------------
2
/ 2\
\1 + 4*x /
$$\frac{8 \cdot 3^{\operatorname{atan}{\left(2 x \right)}} \left(\frac{32 x^{2}}{4 x^{2} + 1} - \frac{12 x \log{\left(3 \right)}}{4 x^{2} + 1} - 2 + \frac{\log{\left(3 \right)}^{2}}{4 x^{2} + 1}\right) \log{\left(3 \right)}}{\left(4 x^{2} + 1\right)^{2}}$$