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:
- Derivative of x^x^x
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Derivative of x^-11
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Derivative of 2x²
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Derivative of (x^2+1)^sqrt(x)
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Identical expressions
- abs(x-y0)+abs(x-y1)
- abs(x minus y0) plus abs(x minus y1)
- absx-y0+absx-y1
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Similar expressions
- abs(x-y0)-abs(x-y1)
- abs(x-y0)+abs(x+y1)
- abs(x+y0)+abs(x-y1)
Derivative of abs(x-y0)+abs(x-y1)
The solution
You have entered
[src]
|x - y0| + |x - y1|
$$\left|{x - y_{0}}\right| + \left|{x - y_{1}}\right|$$
|x - y0| + |x - y1|
The first derivative
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(y1 - re(x))*sign(x - y1)
-------------------------
x - y1
$$\frac{\left(y_{1} - \operatorname{re}{\left(x\right)}\right) \operatorname{sign}{\left(x - y_{1} \right)}}{x - y_{1}}$$
The second derivative
[src]
d (y1 - re(x))*sign(x - y1)
(y1 - re(x))*---(sign(x - y1)) + ------------------------- + sign(x - y1)
dy1 x - y1
-------------------------------------------------------------------------
x - y1
$$\frac{\left(y_{1} - \operatorname{re}{\left(x\right)}\right) \frac{\partial}{\partial y_{1}} \operatorname{sign}{\left(x - y_{1} \right)} + \operatorname{sign}{\left(x - y_{1} \right)} + \frac{\left(y_{1} - \operatorname{re}{\left(x\right)}\right) \operatorname{sign}{\left(x - y_{1} \right)}}{x - y_{1}}}{x - y_{1}}$$
The third derivative
[src]
d
2 2*(y1 - re(x))*---(sign(x - y1))
d d 2*sign(x - y1) dy1 2*(y1 - re(x))*sign(x - y1)
2*---(sign(x - y1)) + (y1 - re(x))*----(sign(x - y1)) + -------------- + -------------------------------- + ---------------------------
dy1 2 x - y1 x - y1 2
dy1 (x - y1)
---------------------------------------------------------------------------------------------------------------------------------------
x - y1
$$\frac{\left(y_{1} - \operatorname{re}{\left(x\right)}\right) \frac{\partial^{2}}{\partial y_{1}^{2}} \operatorname{sign}{\left(x - y_{1} \right)} + 2 \frac{\partial}{\partial y_{1}} \operatorname{sign}{\left(x - y_{1} \right)} + \frac{2 \left(y_{1} - \operatorname{re}{\left(x\right)}\right) \frac{\partial}{\partial y_{1}} \operatorname{sign}{\left(x - y_{1} \right)}}{x - y_{1}} + \frac{2 \operatorname{sign}{\left(x - y_{1} \right)}}{x - y_{1}} + \frac{2 \left(y_{1} - \operatorname{re}{\left(x\right)}\right) \operatorname{sign}{\left(x - y_{1} \right)}}{\left(x - y_{1}\right)^{2}}}{x - y_{1}}$$