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/3)
-
Derivative of √x
-
Derivative of xcos(x)
-
Derivative of 50/x
- Graphing y =:
- arcsin(1/x)
- Integral of d{x}:
- arcsin(1/x)
-
Identical expressions
- y=arcsin(one /x)
- y equally arc sinus of (1 divide by x)
- y equally arc sinus of (one divide by x)
- y=arcsin1/x
- y=arcsin(1 divide by x)
-
Similar expressions
- (((cos(ln(1+x^(1/2))))^2)*arcsin(1/(x^2-1)))/(tg(x^2)+3^(1/x))
- aqrt(x^2-1)/x+arcsin*1/x
- 3arcsin1/x
Derivative of y=arcsin(1/x)
The solution
The first derivative
[src]
-1
----------------
________
2 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{1}{x^{2} \sqrt{1 - \frac{1}{x^{2}}}}$$
The second derivative
[src]
1
2 + -----------
2 / 1 \
x *|1 - --|
| 2|
\ x /
----------------
________
3 / 1
x * / 1 - --
/ 2
\/ x
$$\frac{2 + \frac{1}{x^{2} \left(1 - \frac{1}{x^{2}}\right)}}{x^{3} \sqrt{1 - \frac{1}{x^{2}}}}$$
3-я производная
[src]
/ 3 7 \
-|6 + ------------ + -----------|
| 2 2 / 1 \|
| 4 / 1 \ x *|1 - --||
| x *|1 - --| | 2||
| | 2| \ x /|
\ \ x / /
----------------------------------
________
4 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{6 + \frac{7}{x^{2} \left(1 - \frac{1}{x^{2}}\right)} + \frac{3}{x^{4} \left(1 - \frac{1}{x^{2}}\right)^{2}}}{x^{4} \sqrt{1 - \frac{1}{x^{2}}}}$$
The third derivative
[src]
/ 3 7 \
-|6 + ------------ + -----------|
| 2 2 / 1 \|
| 4 / 1 \ x *|1 - --||
| x *|1 - --| | 2||
| | 2| \ x /|
\ \ x / /
----------------------------------
________
4 / 1
x * / 1 - --
/ 2
\/ x
$$- \frac{6 + \frac{7}{x^{2} \left(1 - \frac{1}{x^{2}}\right)} + \frac{3}{x^{4} \left(1 - \frac{1}{x^{2}}\right)^{2}}}{x^{4} \sqrt{1 - \frac{1}{x^{2}}}}$$