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^-2
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Derivative of x+3
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Derivative of (-1)/x^2
- Derivative of e^x^3
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Identical expressions
- (x- three)*(|x|)^(one / two)
- (x minus 3) multiply by ( module of x|) to the power of (1 divide by 2)
- (x minus three) multiply by ( module of x|) to the power of (one divide by two)
- (x-3)*(|x|)(1/2)
- x-3*|x|1/2
- (x-3)(|x|)^(1/2)
- (x-3)(|x|)(1/2)
- x-3|x|1/2
- x-3|x|^1/2
- (x-3)*(|x|)^(1 divide by 2)
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Similar expressions
- (x+3)*(|x|)^(1/2)
Derivative of (x-3)*(|x|)^(1/2)
The solution
You have entered
[src]
_____ (x - 3)*\/ |x|
$$\left(x - 3\right) \sqrt{\left|{x}\right|}$$
(x - 3)*sqrt(|x|)
The first derivative
[src]
_____ (x - 3)*sign(x)
\/ |x| + ---------------
_____
2*\/ |x|
$$\frac{\left(x - 3\right) \operatorname{sign}{\left(x \right)}}{2 \sqrt{\left|{x}\right|}} + \sqrt{\left|{x}\right|}$$
The second derivative
[src]
/ 2 \
| sign (x)|
(-3 + x)*|4*DiracDelta(x) - --------|
\ |x| /
------------------------------------- + sign(x)
4
-----------------------------------------------
_____
\/ |x|
$$\frac{\frac{\left(x - 3\right) \left(4 \delta\left(x\right) - \frac{\operatorname{sign}^{2}{\left(x \right)}}{\left|{x}\right|}\right)}{4} + \operatorname{sign}{\left(x \right)}}{\sqrt{\left|{x}\right|}}$$
The third derivative
[src]
/ 3 \
| 3*sign (x) 12*DiracDelta(x)*sign(x)|
(-3 + x)*|8*DiracDelta(x, 1) + ---------- - ------------------------|
2 | 2 |x| |
3*sign (x) \ x /
3*DiracDelta(x) - ---------- + ---------------------------------------------------------------------
4*|x| 8
----------------------------------------------------------------------------------------------------
_____
\/ |x|
$$\frac{\frac{\left(x - 3\right) \left(8 \delta^{\left( 1 \right)}\left( x \right) - \frac{12 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} + \frac{3 \operatorname{sign}^{3}{\left(x \right)}}{x^{2}}\right)}{8} + 3 \delta\left(x\right) - \frac{3 \operatorname{sign}^{2}{\left(x \right)}}{4 \left|{x}\right|}}{\sqrt{\left|{x}\right|}}$$