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How to use it?
- Derivative of:
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Derivative of lnx²
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Derivative of arcsin(x)^sqrt(1-x^2)
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Derivative of y=tgx+cosx
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Derivative of arccos(3x^2)
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Identical expressions
- arccos(3x^ two)
- arc co sinus of e of (3x squared )
- arc co sinus of e of (3x to the power of two)
- arccos(3x2)
- arccos3x2
- arccos(3x²)
- arccos(3x to the power of 2)
- arccos3x^2
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Similar expressions
- ctg3x*arccos(3x)^2
Derivative of arccos(3x^2)
The solution
You have entered
[src]
/ 2\ acos\3*x /
$$\operatorname{acos}{\left(3 x^{2} \right)}$$
d / / 2\\ --\acos\3*x // dx
$$\frac{d}{d x} \operatorname{acos}{\left(3 x^{2} \right)}$$
The first derivative
[src]
-6*x ------------- __________ / 4 \/ 1 - 9*x
$$- \frac{6 x}{\sqrt{- 9 x^{4} + 1}}$$
The second derivative
[src]
/ 4 \
| 18*x |
-6*|1 + --------|
| 4|
\ 1 - 9*x /
-----------------
__________
/ 4
\/ 1 - 9*x
$$- \frac{6 \cdot \left(\frac{18 x^{4}}{- 9 x^{4} + 1} + 1\right)}{\sqrt{- 9 x^{4} + 1}}$$
The third derivative
[src]
/ 4 \
3 | 54*x |
-108*x *|5 + --------|
| 4|
\ 1 - 9*x /
----------------------
3/2
/ 4\
\1 - 9*x /
$$- \frac{108 x^{3} \cdot \left(\frac{54 x^{4}}{- 9 x^{4} + 1} + 5\right)}{\left(- 9 x^{4} + 1\right)^{\frac{3}{2}}}$$
The graph