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How to use it?
- Derivative of:
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Derivative of e^(2*cos(t)^(2)-2*sin(t)^(2))
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Derivative of 5x^3
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Derivative of 4*sqrt(x)
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Derivative of 3*sqrt(x)
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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
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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
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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
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/ 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
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/ 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 / /
$$4 \left(\frac{3 x^{2} \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{\log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \operatorname{asin}{\left(x \right)}}{x^{3}} + \frac{3}{x^{4}}\right)$$