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 x^-2
-
Derivative of (-1)/x^2
- Derivative of e^x^3
-
Derivative of (x+1)
-
Identical expressions
- y= one /arctanx
- y equally 1 divide by arc tangent of x
- y equally one divide by arc tangent of x
- y=1 divide by arctanx
Derivative of y=1/arctanx
The solution
You have entered
[src]
1 ------- atan(x)
$$\frac{1}{\operatorname{atan}{\left(x \right)}}$$
1/atan(x)
The first derivative
[src]
-1 ----------------- / 2\ 2 \1 + x /*atan (x)
$$- \frac{1}{\left(x^{2} + 1\right) \operatorname{atan}^{2}{\left(x \right)}}$$
The second derivative
[src]
/ 1 \
2*|x + -------|
\ atan(x)/
------------------
2
/ 2\ 2
\1 + x / *atan (x)
$$\frac{2 \left(x + \frac{1}{\operatorname{atan}{\left(x \right)}}\right)}{\left(x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(x \right)}}$$
The third derivative
[src]
/ 2 \
| 4*x 3 6*x |
2*|1 - ------ - ----------------- - ----------------|
| 2 / 2\ 2 / 2\ |
\ 1 + x \1 + x /*atan (x) \1 + x /*atan(x)/
-----------------------------------------------------
2
/ 2\ 2
\1 + x / *atan (x)
$$\frac{2 \left(- \frac{4 x^{2}}{x^{2} + 1} - \frac{6 x}{\left(x^{2} + 1\right) \operatorname{atan}{\left(x \right)}} + 1 - \frac{3}{\left(x^{2} + 1\right) \operatorname{atan}^{2}{\left(x \right)}}\right)}{\left(x^{2} + 1\right)^{2} \operatorname{atan}^{2}{\left(x \right)}}$$