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 y=cos9x
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Derivative of x^3*(x^2-1)^2
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Derivative of log((x+1)/(x-1))
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Derivative of e^x-e^(3*x)
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Identical expressions
- atan(seven *x^ four)
- arc tangent of gent of (7 multiply by x to the power of 4)
- arc tangent of gent of (seven multiply by x to the power of four)
- atan(7*x4)
- atan7*x4
- atan(7*x⁴)
- atan(7x^4)
- atan(7x4)
- atan7x4
- atan7x^4
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Similar expressions
- arctan(7*x^4)
Derivative of atan(7*x^4)
The solution
The second derivative
[src]
/ 8 \
2 | 392*x |
28*x *|3 - ---------|
| 8|
\ 1 + 49*x /
---------------------
8
1 + 49*x
$$\frac{28 x^{2} \left(- \frac{392 x^{8}}{49 x^{8} + 1} + 3\right)}{49 x^{8} + 1}$$
The third derivative
[src]
/ 8 16 \
| 2548*x 153664*x |
56*x*|3 - --------- + ------------|
| 8 2|
| 1 + 49*x / 8\ |
\ \1 + 49*x / /
-----------------------------------
8
1 + 49*x
$$\frac{56 x \left(\frac{153664 x^{16}}{\left(49 x^{8} + 1\right)^{2}} - \frac{2548 x^{8}}{49 x^{8} + 1} + 3\right)}{49 x^{8} + 1}$$