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 1/3*x^3
-
Derivative of x*x^(1/2)
-
Derivative of x^(5/2)
-
Derivative of (x-4)^2
-
Identical expressions
- 4arcsinxlnx- two /x
- 4arc sinus of xlnx minus 2 divide by x
- 4arc sinus of xlnx minus two divide by x
- 4arcsinxlnx-2 divide by x
-
Similar expressions
- 4arcsinxlnx+2/x
Derivative of 4arcsinxlnx-2/x
The solution
You have entered
[src]
2
4*asin(x)*log(x) - -
x
$$\log{\left(x \right)} 4 \operatorname{asin}{\left(x \right)} - \frac{2}{x}$$
(4*asin(x))*log(x) - 2/x
The first derivative
[src]
2 4*asin(x) 4*log(x)
-- + --------- + -----------
2 x ________
x / 2
\/ 1 - x
$$\frac{4 \log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{4 \operatorname{asin}{\left(x \right)}}{x} + \frac{2}{x^{2}}$$
The second derivative
[src]
/ 1 asin(x) 2 x*log(x) \ 4*|- -- - ------- + ------------- + -----------| | 3 2 ________ 3/2| | x x / 2 / 2\ | \ x*\/ 1 - x \1 - x / /
$$4 \left(\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{x^{2}} - \frac{1}{x^{3}}\right)$$
The third derivative
[src]
/ 2 \ |3 3 log(x) 3 2*asin(x) 3*x *log(x)| 4*|-- + ----------- + ----------- - -------------- + --------- + -----------| | 4 3/2 3/2 ________ 3 5/2| |x / 2\ / 2\ 2 / 2 x / 2\ | \ \1 - x / \1 - x / x *\/ 1 - x \1 - x / /
$$4 \left(\frac{3 x^{2} \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x^{3}} + \frac{3}{x^{4}}\right)$$