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:
-
Derivative of 1/3*x^3
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Derivative of x^2/(x^2+1)
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Derivative of x*sqrt(3-x)
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Derivative of (x^2+25)/x
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Identical expressions
- arcsec(x)
- arcsecx
-
Similar expressions
- y=((((x)^(2))-4)^(1/2))-(2arcsec(x/2))
- arcsecx
Derivative of arcsec(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
$$- \frac{2 + \frac{1}{x^{2} \left(1 - \frac{1}{x^{2}}\right)}}{x^{3} \sqrt{1 - \frac{1}{x^{2}}}}$$
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
$$\frac{6 + \frac{7}{x^{2} \left(1 - \frac{1}{x^{2}}\right)} + \frac{3}{x^{4} \left(1 - \frac{1}{x^{2}}\right)^{2}}}{x^{4} \sqrt{1 - \frac{1}{x^{2}}}}$$
The graph