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
-
How to use it?
- Derivative of:
-
Derivative of e^cos(x)
-
Derivative of ln(x+3)^3
-
Derivative of cos(x)-1
-
Derivative of cos(3*x)^(2)
- Graphing y =:
- atan(1/(x^2))
-
Identical expressions
- atan(one /(x^ two))
- arc tangent of gent of (1 divide by (x squared ))
- arc tangent of gent of (one divide by (x to the power of two))
- atan(1/(x2))
- atan1/x2
- atan(1/(x²))
- atan(1/(x to the power of 2))
- atan1/x^2
- atan(1 divide by (x^2))
-
Similar expressions
- arctan(1/(x^2))
Derivative of atan(1/(x^2))
The solution
You have entered
[src]
/1 \
atan|--|
| 2|
\x /
$$\operatorname{atan}{\left(\frac{1}{x^{2}} \right)}$$
atan(1/(x^2))
The first derivative
[src]
-2 ----------- 3 / 1 \ x *|1 + --| | 4| \ x /
$$- \frac{2}{x^{3} \left(1 + \frac{1}{x^{4}}\right)}$$
The second derivative
[src]
/ 4 \
2*|3 - -----------|
| 4 / 1 \|
| x *|1 + --||
| | 4||
\ \ x //
-------------------
4 / 1 \
x *|1 + --|
| 4|
\ x /
$$\frac{2 \left(3 - \frac{4}{x^{4} \left(1 + \frac{1}{x^{4}}\right)}\right)}{x^{4} \left(1 + \frac{1}{x^{4}}\right)}$$
The third derivative
[src]
/ 8 11 \
8*|-3 - ------------ + -----------|
| 2 4 / 1 \|
| 8 / 1 \ x *|1 + --||
| x *|1 + --| | 4||
| | 4| \ x /|
\ \ x / /
-----------------------------------
5 / 1 \
x *|1 + --|
| 4|
\ x /
$$\frac{8 \left(-3 + \frac{11}{x^{4} \left(1 + \frac{1}{x^{4}}\right)} - \frac{8}{x^{8} \left(1 + \frac{1}{x^{4}}\right)^{2}}\right)}{x^{5} \left(1 + \frac{1}{x^{4}}\right)}$$