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 6^(x^2-8x+28)
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Derivative of y=1/cos²x
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Derivative of (x+2)*(x^2-4*x+5)
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Derivative of (x+2)/(3x-4)
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Identical expressions
- y=sin(arctg(x))
- y equally sinus of (arctg(x))
- y=sinarctgx
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Similar expressions
- y=sin(arctg(x*6)(4x*5))
Derivative of y=sin(arctg(x))
The solution
You have entered
[src]
sin(atan(x))
$$\sin{\left(\operatorname{atan}{\left(x \right)} \right)}$$
sin(atan(x))
The first derivative
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1
-----------
3/2
/ 2\
\1 + x /
$$\frac{1}{\left(x^{2} + 1\right)^{\frac{3}{2}}}$$
The second derivative
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-3*x
-----------
5/2
/ 2\
\1 + x /
$$- \frac{3 x}{\left(x^{2} + 1\right)^{\frac{5}{2}}}$$
The third derivative
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/ 2 \
| 5*x |
3*|-1 + ------|
| 2|
\ 1 + x /
---------------
5/2
/ 2\
\1 + x /
$$\frac{3 \left(\frac{5 x^{2}}{x^{2} + 1} - 1\right)}{\left(x^{2} + 1\right)^{\frac{5}{2}}}$$
The graph