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 cos(x)-log(x)
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Derivative of 5x+3
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Derivative of 5*cos(2*x)
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Derivative of 4*x^5
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Identical expressions
- sqrt(log((x^- one), two))
- square root of ( logarithm of ((x to the power of minus 1),2))
- square root of ( logarithm of ((x to the power of minus one), two))
- √(log((x^-1),2))
- sqrt(log((x-1),2))
- sqrtlogx-1,2
- sqrtlogx^-1,2
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Similar expressions
- sqrt(log((x^+1),2))
Derivative of sqrt(log((x^-1),2))
The solution
You have entered
[src]
___________ / /1 \ / log|-, 2| \/ \x /
$$\sqrt{\log{\left(\frac{1}{x} \right)}}$$
sqrt(log(1/x, 2))
The first derivative
[src]
-1
-------------------
___________
/ /1 \
2*x* / log|-, 2|
\/ \x /
$$- \frac{1}{2 x \sqrt{\log{\left(\frac{1}{x} \right)}}}$$
The second derivative
[src]
1
2 - ---------
/1 \
log|-, 2|
\x /
--------------------
___________
2 / /1 \
4*x * / log|-, 2|
\/ \x /
$$\frac{2 - \frac{1}{\log{\left(\frac{1}{x} \right)}}}{4 x^{2} \sqrt{\log{\left(\frac{1}{x} \right)}}}$$
The third derivative
[src]
3 3
-1 - ------------ + -----------
2/1 \ /1 \
8*log |-, 2| 4*log|-, 2|
\x / \x /
-------------------------------
___________
3 / /1 \
x * / log|-, 2|
\/ \x /
$$\frac{-1 + \frac{3}{4 \log{\left(\frac{1}{x} \right)}} - \frac{3}{8 \log{\left(\frac{1}{x} \right)}^{2}}}{x^{3} \sqrt{\log{\left(\frac{1}{x} \right)}}}$$