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 (x+5)/(x+1)
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Derivative of tan(x/2)-cot(x/2)
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Derivative of sqrt(x^3-1)
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Derivative of sin(x)*cos(x)+x
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Identical expressions
- arcctg(2x- three)
- arcctg(2x minus 3)
- arcctg(2x minus three)
- arcctg2x-3
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Similar expressions
- arcctg(2x+3)
Derivative of arcctg(2x-3)
The solution
The first derivative
[src]
-2
--------------
2
1 + (2*x - 3)
$$- \frac{2}{\left(2 x - 3\right)^{2} + 1}$$
The second derivative
[src]
8*(-3 + 2*x)
------------------
2
/ 2\
\1 + (-3 + 2*x) /
$$\frac{8 \left(2 x - 3\right)}{\left(\left(2 x - 3\right)^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 4*(-3 + 2*x) |
16*|1 - ---------------|
| 2|
\ 1 + (-3 + 2*x) /
------------------------
2
/ 2\
\1 + (-3 + 2*x) /
$$\frac{16 \left(- \frac{4 \left(2 x - 3\right)^{2}}{\left(2 x - 3\right)^{2} + 1} + 1\right)}{\left(\left(2 x - 3\right)^{2} + 1\right)^{2}}$$