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 6
-
Derivative of x^2+3x
-
Derivative of sqrt(1-x)
-
Derivative of ln(x)/x
-
Identical expressions
- arcsin(two x)^2
- arc sinus of (2x) squared
- arc sinus of (two x) squared
- arcsin(2x)2
- arcsin2x2
- arcsin(2x)²
- arcsin(2x) to the power of 2
- arcsin2x^2
Derivative of arcsin(2x)^2
The solution
You have entered
[src]
2 asin (2*x)
$$\operatorname{asin}^{2}{\left(2 x \right)}$$
d / 2 \ --\asin (2*x)/ dx
$$\frac{d}{d x} \operatorname{asin}^{2}{\left(2 x \right)}$$
The first derivative
[src]
4*asin(2*x) ------------- __________ / 2 \/ 1 - 4*x
$$\frac{4 \operatorname{asin}{\left(2 x \right)}}{\sqrt{- 4 x^{2} + 1}}$$
The second derivative
[src]
/ 1 2*x*asin(2*x)\ 8*|- --------- + -------------| | 2 3/2| | -1 + 4*x / 2\ | \ \1 - 4*x / /
$$8 \cdot \left(\frac{2 x \operatorname{asin}{\left(2 x \right)}}{\left(- 4 x^{2} + 1\right)^{\frac{3}{2}}} - \frac{1}{4 x^{2} - 1}\right)$$
The third derivative
[src]
/ 2 \ | asin(2*x) 6*x 12*x *asin(2*x)| 16*|------------- + ------------ + ---------------| | 3/2 2 5/2 | |/ 2\ / 2\ / 2\ | \\1 - 4*x / \-1 + 4*x / \1 - 4*x / /
$$16 \cdot \left(\frac{6 x}{\left(4 x^{2} - 1\right)^{2}} + \frac{12 x^{2} \operatorname{asin}{\left(2 x \right)}}{\left(- 4 x^{2} + 1\right)^{\frac{5}{2}}} + \frac{\operatorname{asin}{\left(2 x \right)}}{\left(- 4 x^{2} + 1\right)^{\frac{3}{2}}}\right)$$
The graph