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 e^(2-x)
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Derivative of sin^2*2x
- Derivative of sqrt4
- Derivative of f(x)=3
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Identical expressions
- arcsin(sqrt(four *x+ two))
- arc sinus of ( square root of (4 multiply by x plus 2))
- arc sinus of ( square root of (four multiply by x plus two))
- arcsin(√(4*x+2))
- arcsin(sqrt(4x+2))
- arcsinsqrt4x+2
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Similar expressions
- arcsin(sqrt(4*x-2))
Derivative of arcsin(sqrt(4*x+2))
The solution
You have entered
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/ _________\ asin\\/ 4*x + 2 /
$$\operatorname{asin}{\left(\sqrt{4 x + 2} \right)}$$
asin(sqrt(4*x + 2))
The first derivative
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2 ------------------------ __________ _________ \/ -1 - 4*x *\/ 4*x + 2
$$\frac{2}{\sqrt{- 4 x - 1} \sqrt{4 x + 2}}$$
The second derivative
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___ / 1 2 \
\/ 2 *|- ------- + --------|
\ 1 + 2*x -1 - 4*x/
----------------------------
_________ __________
\/ 1 + 2*x *\/ -1 - 4*x
$$\frac{\sqrt{2} \left(- \frac{1}{2 x + 1} + \frac{2}{- 4 x - 1}\right)}{\sqrt{- 4 x - 1} \sqrt{2 x + 1}}$$
The third derivative
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___ / 3 12 4 \
\/ 2 *|---------- + ----------- - --------------------|
| 2 2 (1 + 2*x)*(-1 - 4*x)|
\(1 + 2*x) (-1 - 4*x) /
-------------------------------------------------------
_________ __________
\/ 1 + 2*x *\/ -1 - 4*x
$$\frac{\sqrt{2} \left(\frac{3}{\left(2 x + 1\right)^{2}} - \frac{4}{\left(- 4 x - 1\right) \left(2 x + 1\right)} + \frac{12}{\left(- 4 x - 1\right)^{2}}\right)}{\sqrt{- 4 x - 1} \sqrt{2 x + 1}}$$