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- Derivative of a implicit defined function
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- Partial derivative of the function
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How to use it?
- Derivative of:
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Derivative of 3*sqrt(x)
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Derivative of 2*y
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Derivative of 2^x+1
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Derivative of (2x-1)^3
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Identical expressions
- acos(two *x- one)
- arc co sinus of e of ine of (2 multiply by x minus 1)
- arc co sinus of e of ine of (two multiply by x minus one)
- acos(2x-1)
- acos2x-1
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Similar expressions
- acos(2*x+1)
- acos(2^(x-1))
- arccos(2*x-1)
Derivative of acos(2*x-1)
The solution
You have entered
[src]
acos(2*x - 1)
$$\operatorname{acos}{\left(2 x - 1 \right)}$$
d --(acos(2*x - 1)) dx
$$\frac{d}{d x} \operatorname{acos}{\left(2 x - 1 \right)}$$
The first derivative
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-2 ------------------- ________________ / 2 \/ 1 - (2*x - 1)
$$- \frac{2}{\sqrt{- \left(2 x - 1\right)^{2} + 1}}$$
The second derivative
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-4*(-1 + 2*x)
--------------------
3/2
/ 2\
\1 - (-1 + 2*x) /
$$- \frac{4 \cdot \left(2 x - 1\right)}{\left(- \left(2 x - 1\right)^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative
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/ 2 \
| 3*(-1 + 2*x) |
-8*|1 + ---------------|
| 2|
\ 1 - (-1 + 2*x) /
------------------------
3/2
/ 2\
\1 - (-1 + 2*x) /
$$- \frac{8 \cdot \left(\frac{3 \left(2 x - 1\right)^{2}}{- \left(2 x - 1\right)^{2} + 1} + 1\right)}{\left(- \left(2 x - 1\right)^{2} + 1\right)^{\frac{3}{2}}}$$
The graph