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^(4/5)
-
Derivative of x^3+2
-
Derivative of x^2-7*x
-
Derivative of ln(x)^2
-
Identical expressions
- arcsin(two x- one /sqrt(2))
- arc sinus of (2x minus 1 divide by square root of (2))
- arc sinus of (two x minus one divide by square root of (2))
- arcsin(2x-1/√(2))
- arcsin2x-1/sqrt2
- arcsin(2x-1 divide by sqrt(2))
-
Similar expressions
- arcsin(2x+1/sqrt(2))
- arcsin((2x-1)/sqrt(2))
Derivative of arcsin(2x-1/sqrt(2))
The solution
You have entered
[src]
/ 1 \
asin|2*x - -----|
| ___|
\ \/ 2 /
$$\operatorname{asin}{\left(2 x - \frac{1}{\sqrt{2}} \right)}$$
asin(2*x - 1/sqrt(2))
The first derivative
[src]
2
--------------------------
____________________
/ 2
/ / 1 \
/ 1 - |2*x - -----|
/ | ___|
\/ \ \/ 2 /
$$\frac{2}{\sqrt{1 - \left(2 x - \frac{1}{\sqrt{2}}\right)^{2}}}$$
The second derivative
[src]
/ ___ \
2*\- \/ 2 + 4*x/
-------------------------
3/2
/ 2\
| / ___ \ |
| \- \/ 2 + 4*x/ |
|1 - ----------------|
\ 4 /
$$\frac{2 \left(4 x - \sqrt{2}\right)}{\left(1 - \frac{\left(4 x - \sqrt{2}\right)^{2}}{4}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
/ 2 \
| / ___ \ |
| 3*\- \/ 2 + 4*x/ |
2*|4 + --------------------|
| 2|
| / ___ \ |
| \- \/ 2 + 4*x/ |
| 1 - ----------------|
\ 4 /
----------------------------
3/2
/ 2\
| / ___ \ |
| \- \/ 2 + 4*x/ |
|1 - ----------------|
\ 4 /
$$\frac{2 \left(4 + \frac{3 \left(4 x - \sqrt{2}\right)^{2}}{1 - \frac{\left(4 x - \sqrt{2}\right)^{2}}{4}}\right)}{\left(1 - \frac{\left(4 x - \sqrt{2}\right)^{2}}{4}\right)^{\frac{3}{2}}}$$