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^4(x)
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Derivative of ln(t)
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Derivative of x+x^3
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Derivative of sqrt(arctgx)
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Identical expressions
- sqrt(arctgx)
- square root of (arctgx)
- √(arctgx)
- sqrtarctgx
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Similar expressions
- y=sqrtarctgx^2*cos^72x
- sqrt(arctgx^4)
- y=sqrt(arctgx/3)
- y=sqrt(arctg(x/3))
Derivative of sqrt(arctgx)
The solution
You have entered
[src]
_________ \/ acot(x)
$$\sqrt{\operatorname{acot}{\left(x \right)}}$$
sqrt(acot(x))
The first derivative
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-1 ---------------------- / 2\ _________ 2*\1 + x /*\/ acot(x)
$$- \frac{1}{2 \left(x^{2} + 1\right) \sqrt{\operatorname{acot}{\left(x \right)}}}$$
The second derivative
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1
x - ---------
4*acot(x)
---------------------
2
/ 2\ _________
\1 + x / *\/ acot(x)
$$\frac{x - \frac{1}{4 \operatorname{acot}{\left(x \right)}}}{\left(x^{2} + 1\right)^{2} \sqrt{\operatorname{acot}{\left(x \right)}}}$$
The third derivative
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2
4*x 3 3*x
1 - ------ - ------------------- + ------------------
2 / 2\ 2 / 2\
1 + x 8*\1 + x /*acot (x) 2*\1 + x /*acot(x)
-----------------------------------------------------
2
/ 2\ _________
\1 + x / *\/ acot(x)
$$\frac{- \frac{4 x^{2}}{x^{2} + 1} + \frac{3 x}{2 \left(x^{2} + 1\right) \operatorname{acot}{\left(x \right)}} + 1 - \frac{3}{8 \left(x^{2} + 1\right) \operatorname{acot}^{2}{\left(x \right)}}}{\left(x^{2} + 1\right)^{2} \sqrt{\operatorname{acot}{\left(x \right)}}}$$
The graph