Mister Exam
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- Derivative of a implicit defined function
- Derivative of Parametric Function
- Partial derivative of the function
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- Differential equations Step by Step
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How to use it?
- Derivative of:
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Derivative of (1+x)/(4-x^2)
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Derivative of (1+sqrt(x))/(1-sqrt(x))
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Derivative of y=5-4x+7x³-x^5
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Derivative of x/(x^2+4)
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Identical expressions
- arsinx*(x*x+ one)
- ar sinus of x multiply by (x multiply by x plus 1)
- ar sinus of x multiply by (x multiply by x plus one)
- arsinx(xx+1)
- arsinxxx+1
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Similar expressions
- arsinx*(x*x-1)
Derivative of arsinx*(x*x+1)
The solution
You have entered
[src]
asin(x)*(x*x + 1)
$$\left(x x + 1\right) \operatorname{asin}{\left(x \right)}$$
asin(x)*(x*x + 1)
The first derivative
[src]
x*x + 1 ----------- + 2*x*asin(x) ________ / 2 \/ 1 - x
$$2 x \operatorname{asin}{\left(x \right)} + \frac{x x + 1}{\sqrt{1 - x^{2}}}$$
The second derivative
[src]
/ 2\
4*x x*\1 + x /
2*asin(x) + ----------- + -----------
________ 3/2
/ 2 / 2\
\/ 1 - x \1 - x /
$$\frac{4 x}{\sqrt{1 - x^{2}}} + \frac{x \left(x^{2} + 1\right)}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + 2 \operatorname{asin}{\left(x \right)}$$
The third derivative
[src]
/ 2 \
/ 2\ | 3*x |
\1 + x /*|-1 + -------|
2 | 2|
6*x \ -1 + x /
6 + ------ - -----------------------
2 2
1 - x 1 - x
------------------------------------
________
/ 2
\/ 1 - x
$$\frac{\frac{6 x^{2}}{1 - x^{2}} + 6 - \frac{\left(x^{2} + 1\right) \left(\frac{3 x^{2}}{x^{2} - 1} - 1\right)}{1 - x^{2}}}{\sqrt{1 - x^{2}}}$$