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- Derivative of a implicit defined function
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How to use it?
- Derivative of:
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Derivative of 11*x-log(x+4)^11-3
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Derivative of y=x^3-8x^2+10x-4
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Derivative of x+ln(x^2-4)
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Derivative of x/(9-x^2)
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Identical expressions
- atan(e^(two *x))
- arc tangent of gent of (e to the power of (2 multiply by x))
- arc tangent of gent of (e to the power of (two multiply by x))
- atan(e(2*x))
- atane2*x
- atan(e^(2x))
- atan(e(2x))
- atane2x
- atane^2x
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Similar expressions
- arctan(e^(2*x))
Derivative of atan(e^(2*x))
The solution
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[src]
/ 2*x\ atan\e /
$$\operatorname{atan}{\left(e^{2 x} \right)}$$
d / / 2*x\\ --\atan\e // dx
$$\frac{d}{d x} \operatorname{atan}{\left(e^{2 x} \right)}$$
The second derivative
[src]
/ 4*x \
| 2*e | 2*x
4*|1 - --------|*e
| 4*x|
\ 1 + e /
---------------------
4*x
1 + e
$$\frac{4 \cdot \left(- \frac{2 e^{4 x}}{e^{4 x} + 1} + 1\right) e^{2 x}}{e^{4 x} + 1}$$
The third derivative
[src]
/ 4*x 8*x \
| 8*e 8*e | 2*x
8*|1 - -------- + -----------|*e
| 4*x 2|
| 1 + e / 4*x\ |
\ \1 + e / /
-----------------------------------
4*x
1 + e
$$\frac{8 \cdot \left(\frac{8 e^{8 x}}{\left(e^{4 x} + 1\right)^{2}} - \frac{8 e^{4 x}}{e^{4 x} + 1} + 1\right) e^{2 x}}{e^{4 x} + 1}$$
The graph