Mister Exam
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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 x*e
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Derivative of x/lnx
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Derivative of (x+1)/(x-1)
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Derivative of (x-2)^3
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Identical expressions
- arcsin(4x- one)
- arc sinus of (4x minus 1)
- arc sinus of (4x minus one)
- arcsin4x-1
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Similar expressions
- arcsin(4x+1)
- 5arcsin^4(x-1)^3
Derivative of arcsin(4x-1)
The solution
You have entered
[src]
asin(4*x - 1)
$$\operatorname{asin}{\left(4 x - 1 \right)}$$
d --(asin(4*x - 1)) dx
$$\frac{d}{d x} \operatorname{asin}{\left(4 x - 1 \right)}$$
The first derivative
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4 ------------------- ________________ / 2 \/ 1 - (4*x - 1)
$$\frac{4}{\sqrt{- \left(4 x - 1\right)^{2} + 1}}$$
The second derivative
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16*(-1 + 4*x)
--------------------
3/2
/ 2\
\1 - (-1 + 4*x) /
$$\frac{16 \cdot \left(4 x - 1\right)}{\left(- \left(4 x - 1\right)^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative
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/ 2 \
| 3*(-1 + 4*x) |
64*|1 + ---------------|
| 2|
\ 1 - (-1 + 4*x) /
------------------------
3/2
/ 2\
\1 - (-1 + 4*x) /
$$\frac{64 \cdot \left(\frac{3 \left(4 x - 1\right)^{2}}{- \left(4 x - 1\right)^{2} + 1} + 1\right)}{\left(- \left(4 x - 1\right)^{2} + 1\right)^{\frac{3}{2}}}$$
The graph