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 tan(2x^2-1)/sin(2x^2-1)
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Derivative of log(x+5)-2*x+9
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Derivative of e^(x^2)/x
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Derivative of atan(e^(3*x))
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Identical expressions
- atan(e^(three *x))
- arc tangent of gent of (e to the power of (3 multiply by x))
- arc tangent of gent of (e to the power of (three multiply by x))
- atan(e(3*x))
- atane3*x
- atan(e^(3x))
- atan(e(3x))
- atane3x
- atane^3x
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Similar expressions
- arctan(e^(3*x))
Derivative of atan(e^(3*x))
The solution
The second derivative
[src]
/ 6*x \
| 2*e | 3*x
9*|1 - --------|*e
| 6*x|
\ 1 + e /
---------------------
6*x
1 + e
$$\frac{9 \left(1 - \frac{2 e^{6 x}}{e^{6 x} + 1}\right) e^{3 x}}{e^{6 x} + 1}$$
The third derivative
[src]
/ 6*x 12*x \
| 8*e 8*e | 3*x
27*|1 - -------- + -----------|*e
| 6*x 2|
| 1 + e / 6*x\ |
\ \1 + e / /
------------------------------------
6*x
1 + e
$$\frac{27 \left(1 - \frac{8 e^{6 x}}{e^{6 x} + 1} + \frac{8 e^{12 x}}{\left(e^{6 x} + 1\right)^{2}}\right) e^{3 x}}{e^{6 x} + 1}$$
The graph