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How to use it?
- Derivative of:
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Derivative of 3x^-2
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Derivative of 6-6*x
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Derivative of (6-3*x^2+5*x)^6
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Derivative of (1-4*sin(x))/(2-3*cos(x))
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Identical expressions
- three *ln|x|- two / three *x^ three / two - seven / two *x^- two
- 3 multiply by ln module of x| minus 2 divide by 3 multiply by x cubed divide by 2 minus 7 divide by 2 multiply by x to the power of minus 2
- three multiply by ln module of x| minus two divide by three multiply by x to the power of three divide by two minus seven divide by two multiply by x to the power of minus two
- 3*ln|x|-2/3*x3/2-7/2*x-2
- 3*ln|x|-2/3*x³/2-7/2*x^-2
- 3*ln|x|-2/3*x to the power of 3/2-7/2*x to the power of -2
- 3ln|x|-2/3x^3/2-7/2x^-2
- 3ln|x|-2/3x3/2-7/2x-2
- 3*ln|x|-2 divide by 3*x^3 divide by 2-7 divide by 2*x^-2
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Similar expressions
- 3*ln|x|-2/3*x^3/2+7/2*x^-2
- 3*ln|x|-2/3*x^3/2-7/2*x^+2
- 3*ln|x|+2/3*x^3/2-7/2*x^-2
Derivative of 3*ln|x|-2/3*x^3/2-7/2*x^-2
The solution
You have entered
[src]
/ 3\
|2*x |
|----|
\ 3 / 7
3*log(|x|) - ------ - ----
2 2
2*x
$$\left(- \frac{\frac{2}{3} x^{3}}{2} + 3 \log{\left(\left|{x}\right| \right)}\right) - \frac{7}{2 x^{2}}$$
3*log(|x|) - 2*x^3/3/2 - 7/(2*x^2)
The first derivative
[src]
2 7 3*sign(x)
- x + -- + ---------
3 |x|
x
$$- x^{2} + \frac{3 \operatorname{sign}{\left(x \right)}}{\left|{x}\right|} + \frac{7}{x^{3}}$$
The second derivative
[src]
2 21 3*sign (x) 6*DiracDelta(x) - -- - 2*x - ---------- + --------------- 4 2 |x| x x
$$- 2 x + \frac{6 \delta\left(x\right)}{\left|{x}\right|} - \frac{3 \operatorname{sign}^{2}{\left(x \right)}}{x^{2}} - \frac{21}{x^{4}}$$
The third derivative
[src]
/ 2 \ | 42 3*sign (x) 3*DiracDelta(x, 1) 9*DiracDelta(x)*sign(x)| 2*|-1 + -- + ---------- + ------------------ - -----------------------| | 5 3 |x| 2 | \ x x x /
$$2 \left(-1 + \frac{3 \delta^{\left( 1 \right)}\left( x \right)}{\left|{x}\right|} - \frac{9 \delta\left(x\right) \operatorname{sign}{\left(x \right)}}{x^{2}} + \frac{3 \operatorname{sign}^{2}{\left(x \right)}}{x^{3}} + \frac{42}{x^{5}}\right)$$