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- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
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- Differential equations Step by Step
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How to use it?
- Derivative of:
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Derivative of 1/(x^2)
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Derivative of 6/x
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Derivative of x^2*tan(x)
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Derivative of x^1
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Identical expressions
- y=x*arctg(3x^ two)
- y equally x multiply by arctg(3x squared )
- y equally x multiply by arctg(3x to the power of two)
- y=x*arctg(3x2)
- y=x*arctg3x2
- y=x*arctg(3x²)
- y=x*arctg(3x to the power of 2)
- y=xarctg(3x^2)
- y=xarctg(3x2)
- y=xarctg3x2
- y=xarctg3x^2
Derivative of y=x*arctg(3x^2)
The solution
You have entered
[src]
/ 2\ x*atan\3*x /
$$x \operatorname{atan}{\left(3 x^{2} \right)}$$
x*atan(3*x^2)
The first derivative
[src]
2
6*x / 2\
-------- + atan\3*x /
4
1 + 9*x
$$\frac{6 x^{2}}{9 x^{4} + 1} + \operatorname{atan}{\left(3 x^{2} \right)}$$
The second derivative
[src]
/ 4 \
| 36*x |
6*x*|3 - --------|
| 4|
\ 1 + 9*x /
------------------
4
1 + 9*x
$$\frac{6 x \left(- \frac{36 x^{4}}{9 x^{4} + 1} + 3\right)}{9 x^{4} + 1}$$
The third derivative
[src]
/ / 4 \\
| 4 | 72*x ||
| 12*x *|-5 + --------||
| 4 | 4||
| 36*x \ 1 + 9*x /|
18*|1 - -------- + ---------------------|
| 4 4 |
\ 1 + 9*x 1 + 9*x /
-----------------------------------------
4
1 + 9*x
$$\frac{18 \left(\frac{12 x^{4} \left(\frac{72 x^{4}}{9 x^{4} + 1} - 5\right)}{9 x^{4} + 1} - \frac{36 x^{4}}{9 x^{4} + 1} + 1\right)}{9 x^{4} + 1}$$
The graph