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- Derivative of a implicit defined function
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How to use it?
- Derivative of:
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Derivative of 3^-x
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Derivative of 6^(x^2-8x+28)
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Derivative of (x+2)*(x^2-4*x+5)
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Derivative of (x^2+8)/(x-1)
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Identical expressions
- asin(eight *x- three)/ seven
- arc sinus of e of (8 multiply by x minus 3) divide by 7
- arc sinus of e of (eight multiply by x minus three) divide by seven
- asin(8x-3)/7
- asin8x-3/7
- asin(8*x-3) divide by 7
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Similar expressions
- asin(8*x+3)/7
- arcsin(8*x-3)/7
Derivative of asin(8*x-3)/7
The solution
You have entered
[src]
asin(8*x - 3)
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7
$$\frac{\operatorname{asin}{\left(8 x - 3 \right)}}{7}$$
asin(8*x - 3)/7
The first derivative
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8
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________________
/ 2
7*\/ 1 - (8*x - 3)
$$\frac{8}{7 \sqrt{1 - \left(8 x - 3\right)^{2}}}$$
The second derivative
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64*(-3 + 8*x)
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3/2
/ 2\
7*\1 - (-3 + 8*x) /
$$\frac{64 \left(8 x - 3\right)}{7 \left(1 - \left(8 x - 3\right)^{2}\right)^{\frac{3}{2}}}$$
The third derivative
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/ 2 \
| 3*(-3 + 8*x) |
-512*|-1 + ----------------|
| 2|
\ -1 + (-3 + 8*x) /
----------------------------
3/2
/ 2\
7*\1 - (-3 + 8*x) /
$$- \frac{512 \left(\frac{3 \left(8 x - 3\right)^{2}}{\left(8 x - 3\right)^{2} - 1} - 1\right)}{7 \left(1 - \left(8 x - 3\right)^{2}\right)^{\frac{3}{2}}}$$