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
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How to use it?
- Derivative of:
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Derivative of 1/x^5
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Derivative of x^5*cos(x)
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Derivative of x^3*tan(x)
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Derivative of x-3
- Graphing y =:
- asin(x-1)
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Identical expressions
- asin(x- one)
- arc sinus of e of (x minus 1)
- arc sinus of e of (x minus one)
- asinx-1
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Similar expressions
- (x^(2))-asin(x-(1/5))
- asin((x-1)/x)
- asin((x-1)/(x+1))^7
- (asin(x)-1)/(asin(x)+1)
- asin(x+1)
- arcsin(x-1)
Derivative of asin(x-1)
The solution
The first derivative
[src]
1 ----------------- ______________ / 2 \/ 1 - (x - 1)
$$\frac{1}{\sqrt{1 - \left(x - 1\right)^{2}}}$$
The second derivative
[src]
-1 + x
------------------
3/2
/ 2\
\1 - (-1 + x) /
$$\frac{x - 1}{\left(1 - \left(x - 1\right)^{2}\right)^{\frac{3}{2}}}$$
The third derivative
[src]
2
3*(-1 + x)
1 + -------------
2
1 - (-1 + x)
------------------
3/2
/ 2\
\1 - (-1 + x) /
$$\frac{1 + \frac{3 \left(x - 1\right)^{2}}{1 - \left(x - 1\right)^{2}}}{\left(1 - \left(x - 1\right)^{2}\right)^{\frac{3}{2}}}$$
The graph