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^(4/5)
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Derivative of log(x^2+5)
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Derivative of e^(-2*x)
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Derivative of asin(2*x)
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Identical expressions
- atan(two *x+ five)
- arc tangent of gent of (2 multiply by x plus 5)
- arc tangent of gent of (two multiply by x plus five)
- atan(2x+5)
- atan2x+5
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Similar expressions
- atan(2*x-5)
- arctan(2*x+5)
Derivative of atan(2*x+5)
The solution
The first derivative
[src]
2
--------------
2
1 + (2*x + 5)
$$\frac{2}{\left(2 x + 5\right)^{2} + 1}$$
The second derivative
[src]
-8*(5 + 2*x)
-----------------
2
/ 2\
\1 + (5 + 2*x) /
$$- \frac{8 \left(2 x + 5\right)}{\left(\left(2 x + 5\right)^{2} + 1\right)^{2}}$$
The third derivative
[src]
/ 2 \
| 4*(5 + 2*x) |
16*|-1 + --------------|
| 2|
\ 1 + (5 + 2*x) /
------------------------
2
/ 2\
\1 + (5 + 2*x) /
$$\frac{16 \left(\frac{4 \left(2 x + 5\right)^{2}}{\left(2 x + 5\right)^{2} + 1} - 1\right)}{\left(\left(2 x + 5\right)^{2} + 1\right)^{2}}$$
The graph