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 cos(x)^2
-
Derivative of x^sin(x)
-
Derivative of sin(x^3)
-
Derivative of log(x)^2
-
Identical expressions
- 2arcsin(four /x)
- 2arc sinus of (4 divide by x)
- 2arc sinus of (four divide by x)
- 2arcsin4/x
- 2arcsin(4 divide by x)
Derivative of 2arcsin(4/x)
The solution
You have entered
[src]
/4\
2*asin|-|
\x/
$$2 \operatorname{asin}{\left(\frac{4}{x} \right)}$$
2*asin(4/x)
The first derivative
[src]
-8
----------------
________
2 / 16
x * / 1 - --
/ 2
\/ x
$$- \frac{8}{x^{2} \sqrt{1 - \frac{16}{x^{2}}}}$$
The second derivative
[src]
/ 8 \
16*|1 + -----------|
| 2 / 16\|
| x *|1 - --||
| | 2||
\ \ x //
--------------------
________
3 / 16
x * / 1 - --
/ 2
\/ x
$$\frac{16 \left(1 + \frac{8}{x^{2} \left(1 - \frac{16}{x^{2}}\right)}\right)}{x^{3} \sqrt{1 - \frac{16}{x^{2}}}}$$
The third derivative
[src]
/ 56 384 \
-16*|3 + ----------- + ------------|
| 2 / 16\ 2|
| x *|1 - --| 4 / 16\ |
| | 2| x *|1 - --| |
| \ x / | 2| |
\ \ x / /
------------------------------------
________
4 / 16
x * / 1 - --
/ 2
\/ x
$$- \frac{16 \left(3 + \frac{56}{x^{2} \left(1 - \frac{16}{x^{2}}\right)} + \frac{384}{x^{4} \left(1 - \frac{16}{x^{2}}\right)^{2}}\right)}{x^{4} \sqrt{1 - \frac{16}{x^{2}}}}$$