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 tan(x/2)
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Derivative of (x^2)
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Derivative of tan(x^3)
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Derivative of sin(x)/2
- Graphing y =:
- |x^2-2x|
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Identical expressions
- |x^ two -2x|
- module of x squared minus 2x|
- module of x to the power of two minus 2x|
- |x2-2x|
- |x²-2x|
- |x to the power of 2-2x|
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Similar expressions
- |x^2+2x|
Derivative of |x^2-2x|
The solution
The first derivative
[src]
/ 2 \ (-2 + 2*x)*sign\x - 2*x/
$$\left(2 x - 2\right) \operatorname{sign}{\left(x^{2} - 2 x \right)}$$
The second derivative
[src]
/ 2 \ 2*\4*(-1 + x) *DiracDelta(x*(-2 + x)) + sign(x*(-2 + x))/
$$2 \left(4 \left(x - 1\right)^{2} \delta\left(x \left(x - 2\right)\right) + \operatorname{sign}{\left(x \left(x - 2\right) \right)}\right)$$
The third derivative
[src]
/ 2 \ 8*(-1 + x)*\3*DiracDelta(x*(-2 + x)) + 2*(-1 + x) *DiracDelta(x*(-2 + x), 1)/
$$8 \left(x - 1\right) \left(2 \left(x - 1\right)^{2} \delta^{\left( 1 \right)}\left( x \left(x - 2\right) \right) + 3 \delta\left(x \left(x - 2\right)\right)\right)$$
The graph