Mister Exam
Other calculators
- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
- Curve tracing functions Step by Step
- Integral Step by Step
- Differential equations Step by Step
- Limits Step by Step
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How to use it?
- Derivative of:
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Derivative of (x+5)/(x+1)
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Derivative of x*2^x
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Derivative of e^sin(x)*cos(x)
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Derivative of atan(3*x)
- Limit of the function:
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atan(3*x)
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Identical expressions
- atan(three *x)
- arc tangent of gent of (3 multiply by x)
- arc tangent of gent of (three multiply by x)
- atan(3x)
- atan3x
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Similar expressions
- x^4*atan(3x)
- atan((3*x-5)^(3/5))^(-3)
- atan(3*x^2)
- arctan(3*x)
Derivative of atan(3*x)
The solution
The second derivative
[src]
-54*x
-----------
2
/ 2\
\1 + 9*x /
$$- \frac{54 x}{\left(9 x^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 36*x |
54*|-1 + --------|
| 2|
\ 1 + 9*x /
------------------
2
/ 2\
\1 + 9*x /
$$\frac{54 \left(\frac{36 x^{2}}{9 x^{2} + 1} - 1\right)}{\left(9 x^{2} + 1\right)^{2}}$$
The graph