Mister Exam
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- 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
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How to use it?
- Derivative of:
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Derivative of sin(x)^2
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Derivative of (x^5+1)
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Derivative of y/2
- Derivative of x*e^((-1)/x^3)
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Identical expressions
- asin(x)/((two *x))
- arc sinus of e of (x) divide by ((2 multiply by x))
- arc sinus of e of (x) divide by ((two multiply by x))
- asin(x)/((2x))
- asinx/2x
- asin(x) divide by ((2*x))
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Similar expressions
- arcsin(x)/((2*x))
- arcsinx/((2*x))
Derivative of asin(x)/((2*x))
The solution
You have entered
[src]
asin(x) ------- 2*x
$$\frac{\operatorname{asin}{\left(x \right)}}{2 x}$$
asin(x)/((2*x))
The first derivative
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/ 1 \ |---| \2*x/ asin(x) ----------- - ------- ________ 2 / 2 2*x \/ 1 - x
$$\frac{\frac{1}{2} \frac{1}{x}}{\sqrt{1 - x^{2}}} - \frac{\operatorname{asin}{\left(x \right)}}{2 x^{2}}$$
The second derivative
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1 asin(x) 1
------------- + ------- - --------------
3/2 3 ________
/ 2\ x 2 / 2
2*\1 - x / x *\/ 1 - x
$$\frac{1}{2 \left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{1}{x^{2} \sqrt{1 - x^{2}}} + \frac{\operatorname{asin}{\left(x \right)}}{x^{3}}$$
The third derivative
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2
3*x
-1 + -------
2
3 3*asin(x) 3 -1 + x
- ------------- - --------- + -------------- - -------------
3/2 3 ________ 3/2
/ 2\ x 2 / 2 / 2\
2*\1 - x / x *\/ 1 - x 2*\1 - x /
------------------------------------------------------------
x
$$\frac{- \frac{\frac{3 x^{2}}{x^{2} - 1} - 1}{2 \left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{2 \left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{x^{2} \sqrt{1 - x^{2}}} - \frac{3 \operatorname{asin}{\left(x \right)}}{x^{3}}}{x}$$
The graph