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- Partial derivative of the function
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How to use it?
- Derivative of:
- Derivative of log(2)
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Derivative of 1/(x-1)
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Derivative of x*ctgx
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Derivative of sin(lnx)
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Identical expressions
- arctan(two *x-(two ^x))
- arc tangent of (2 multiply by x minus (2 to the power of x))
- arc tangent of (two multiply by x minus (two to the power of x))
- arctan(2*x-(2x))
- arctan2*x-2x
- arctan(2x-(2^x))
- arctan(2x-(2x))
- arctan2x-2x
- arctan2x-2^x
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Similar expressions
- arctan(2*x+(2^x))
Derivative of arctan(2*x-(2^x))
The solution
You have entered
[src]
/ x\ atan\2*x - 2 /
$$\operatorname{atan}{\left(- 2^{x} + 2 x \right)}$$
atan(2*x - 2^x)
The first derivative
[src]
x
2 - 2 *log(2)
---------------
2
/ x\
1 + \2*x - 2 /
$$\frac{- 2^{x} \log{\left(2 \right)} + 2}{\left(- 2^{x} + 2 x\right)^{2} + 1}$$
The second derivative
[src]
2
/ x \ / x \
x 2 2*\-2 + 2 *log(2)/ *\2 - 2*x/
- 2 *log (2) + ------------------------------
2
/ x \
1 + \2 - 2*x/
---------------------------------------------
2
/ x \
1 + \2 - 2*x/
$$\frac{- 2^{x} \log{\left(2 \right)}^{2} + \frac{2 \left(2^{x} - 2 x\right) \left(2^{x} \log{\left(2 \right)} - 2\right)^{2}}{\left(2^{x} - 2 x\right)^{2} + 1}}{\left(2^{x} - 2 x\right)^{2} + 1}$$
The third derivative
[src]
3 3 2
/ x \ / x \ / x \ x 2 / x \ / x \
x 3 2*\-2 + 2 *log(2)/ 8*\-2 + 2 *log(2)/ *\2 - 2*x/ 6*2 *log (2)*\-2 + 2 *log(2)/*\2 - 2*x/
- 2 *log (2) + ------------------- - ------------------------------- + ----------------------------------------
2 2 2
/ x \ / 2\ / x \
1 + \2 - 2*x/ | / x \ | 1 + \2 - 2*x/
\1 + \2 - 2*x/ /
---------------------------------------------------------------------------------------------------------------
2
/ x \
1 + \2 - 2*x/
$$\frac{\frac{6 \cdot 2^{x} \left(2^{x} - 2 x\right) \left(2^{x} \log{\left(2 \right)} - 2\right) \log{\left(2 \right)}^{2}}{\left(2^{x} - 2 x\right)^{2} + 1} - 2^{x} \log{\left(2 \right)}^{3} - \frac{8 \left(2^{x} - 2 x\right)^{2} \left(2^{x} \log{\left(2 \right)} - 2\right)^{3}}{\left(\left(2^{x} - 2 x\right)^{2} + 1\right)^{2}} + \frac{2 \left(2^{x} \log{\left(2 \right)} - 2\right)^{3}}{\left(2^{x} - 2 x\right)^{2} + 1}}{\left(2^{x} - 2 x\right)^{2} + 1}$$