Mister Exam
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- Derivative of a implicit defined function
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- Partial derivative of the function
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How to use it?
- Derivative of:
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Derivative of 3x^2-5x+5
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Derivative of (2*x-1)^2
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Derivative of (2*e)^cos(log(6*x-1))^(2)
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Derivative of 1/tg(x)
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Identical expressions
- atan(sqrt(x^ two - one))
- arc tangent of gent of ( square root of (x squared minus 1))
- arc tangent of gent of ( square root of (x to the power of two minus one))
- atan(√(x^2-1))
- atan(sqrt(x2-1))
- atansqrtx2-1
- atan(sqrt(x²-1))
- atan(sqrt(x to the power of 2-1))
- atansqrtx^2-1
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Similar expressions
- atan(sqrt(x^2+1))
- arctan(sqrt(x^2-1))
Derivative of atan(sqrt(x^2-1))
The solution
You have entered
[src]
/ ________\
| / 2 |
atan\\/ x - 1 /
$$\operatorname{atan}{\left(\sqrt{x^{2} - 1} \right)}$$
atan(sqrt(x^2 - 1))
The second derivative
[src]
/1 1 \
-|-- + -------|
| 2 2|
\x -1 + x /
----------------
_________
/ 2
\/ -1 + x
$$- \frac{\frac{1}{x^{2} - 1} + \frac{1}{x^{2}}}{\sqrt{x^{2} - 1}}$$
The third derivative
[src]
2 1 3*x
-- + ----------- + ----------
3 / 2\ 2
x x*\-1 + x / / 2\
\-1 + x /
-----------------------------
_________
/ 2
\/ -1 + x
$$\frac{\frac{3 x}{\left(x^{2} - 1\right)^{2}} + \frac{1}{x \left(x^{2} - 1\right)} + \frac{2}{x^{3}}}{\sqrt{x^{2} - 1}}$$
The graph