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 sin(x)+cos(x)
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Derivative of cos(x)^2
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Derivative of sin(x^3)
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Derivative of log(x)^2
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Identical expressions
- two *x- three *|x|^(two / three)
- 2 multiply by x minus 3 multiply by module of x| to the power of (2 divide by 3)
- two multiply by x minus three multiply by module of x| to the power of (two divide by three)
- 2*x-3*|x|(2/3)
- 2*x-3*|x|2/3
- 2x-3|x|^(2/3)
- 2x-3|x|(2/3)
- 2x-3|x|2/3
- 2x-3|x|^2/3
- 2*x-3*|x|^(2 divide by 3)
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Similar expressions
- 2*x+3*|x|^(2/3)
Derivative of 2*x-3*|x|^(2/3)
The solution
The first derivative
[src]
2*sign(x)
2 - ---------
3 _____
\/ |x|
$$2 - \frac{2 \operatorname{sign}{\left(x \right)}}{\sqrt[3]{\left|{x}\right|}}$$
The second derivative
[src]
/ 2 \
| sign (x)|
2*|-2*DiracDelta(x) + --------|
\ 3*|x| /
-------------------------------
3 _____
\/ |x|
$$\frac{2 \left(- 2 \delta\left(x\right) + \frac{\operatorname{sign}^{2}{\left(x \right)}}{3 \left|{x}\right|}\right)}{\sqrt[3]{\left|{x}\right|}}$$
The third derivative
[src]
/ 3 \
| 2*sign (x) DiracDelta(x)*sign(x)|
4*|-DiracDelta(x, 1) - ---------- + ---------------------|
| 2 |x| |
\ 9*x /
----------------------------------------------------------
3 _____
\/ |x|
$$\frac{4 \left(- \delta^{\left( 1 \right)}\left( x \right) + \frac{\delta\left(x\right) \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} - \frac{2 \operatorname{sign}^{3}{\left(x \right)}}{9 x^{2}}\right)}{\sqrt[3]{\left|{x}\right|}}$$