Mister Exam
Other calculators
- 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 x+5
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Derivative of e^sinx
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Derivative of x^2/(x+1)
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Derivative of x^1/5
- Graphing y =:
- 1/|x|
- Integral of d{x}:
- 1/|x|
- Limit of the function:
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1/|x|
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Identical expressions
- one /|x|
- 1 divide by module of x|
- one divide by module of x|
- 1 divide by |x|
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Similar expressions
- x*(e^|x|−1)/|x|
- ((x^2)+1)/(|x|)
Derivative of 1/|x|
The solution
The first derivative
[src]
-sign(x)
---------
2
x
$$- \frac{\operatorname{sign}{\left(x \right)}}{x^{2}}$$
The second derivative
[src]
/ sign(x)\
2*|-DiracDelta(x) + -------|
\ x /
----------------------------
2
x
$$\frac{2 \left(- \delta\left(x\right) + \frac{\operatorname{sign}{\left(x \right)}}{x}\right)}{x^{2}}$$
The third derivative
[src]
/ 3*sign(x) 4*DiracDelta(x)\
2*|-DiracDelta(x, 1) - --------- + ---------------|
| 2 x |
\ x /
---------------------------------------------------
2
x
$$\frac{2 \left(- \delta^{\left( 1 \right)}\left( x \right) + \frac{4 \delta\left(x\right)}{x} - \frac{3 \operatorname{sign}{\left(x \right)}}{x^{2}}\right)}{x^{2}}$$