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How to use it?
- Derivative of:
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Derivative of c
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Derivative of 7*x+5
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Derivative of sin(x)*sin(x)*sin(x)
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Derivative of ln(4x+2)
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Identical expressions
- (arcsin(2x- one)/(sqrt3))
- (arc sinus of (2x minus 1) divide by ( square root of 3))
- (arc sinus of (2x minus one) divide by ( square root of 3))
- (arcsin(2x-1)/(√3))
- arcsin2x-1/sqrt3
- (arcsin(2x-1) divide by (sqrt3))
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Similar expressions
- (arcsin(2x+1)/(sqrt3))
Derivative of (arcsin(2x-1)/(sqrt3))
The solution
You have entered
[src]
asin(2*x - 1)
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___
\/ 3
$$\frac{\operatorname{asin}{\left(2 x - 1 \right)}}{\sqrt{3}}$$
asin(2*x - 1)/sqrt(3)
The first derivative
[src]
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\/ 3
2*-----
3
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________________
/ 2
\/ 1 - (2*x - 1)
$$\frac{2 \frac{\sqrt{3}}{3}}{\sqrt{1 - \left(2 x - 1\right)^{2}}}$$
The second derivative
[src]
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4*\/ 3 *(-1 + 2*x)
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3/2
/ 2\
3*\1 - (-1 + 2*x) /
$$\frac{4 \sqrt{3} \left(2 x - 1\right)}{3 \left(1 - \left(2 x - 1\right)^{2}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
___ | 3*(-1 + 2*x) |
-8*\/ 3 *|-1 + ----------------|
| 2|
\ -1 + (-1 + 2*x) /
--------------------------------
3/2
/ 2\
3*\1 - (-1 + 2*x) /
$$- \frac{8 \sqrt{3} \left(\frac{3 \left(2 x - 1\right)^{2}}{\left(2 x - 1\right)^{2} - 1} - 1\right)}{3 \left(1 - \left(2 x - 1\right)^{2}\right)^{\frac{3}{2}}}$$