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:
- Derivative of e^x^x
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Derivative of x/(x-4)
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Derivative of tan(e^(2*x))
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Derivative of sin^3*x
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Identical expressions
- asin(three ^x)
- arc sinus of e of (3 to the power of x)
- arc sinus of e of (three to the power of x)
- asin(3x)
- asin3x
- asin3^x
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Similar expressions
- arcsin(3^x)
Derivative of asin(3^x)
The solution
The first derivative
[src]
x 3 *log(3) ------------- __________ / 2*x \/ 1 - 3
$$\frac{3^{x} \log{\left(3 \right)}}{\sqrt{1 - 3^{2 x}}}$$
The second derivative
[src]
/ 2*x \
x 2 | 3 |
3 *log (3)*|1 + --------|
| 2*x|
\ 1 - 3 /
-------------------------
__________
/ 2*x
\/ 1 - 3
$$\frac{3^{x} \left(\frac{3^{2 x}}{1 - 3^{2 x}} + 1\right) \log{\left(3 \right)}^{2}}{\sqrt{1 - 3^{2 x}}}$$
The third derivative
[src]
/ 4*x 2*x \
x 3 | 3*3 4*3 |
3 *log (3)*|1 + ----------- + --------|
| 2 2*x|
| / 2*x\ 1 - 3 |
\ \1 - 3 / /
---------------------------------------
__________
/ 2*x
\/ 1 - 3
$$\frac{3^{x} \left(\frac{3 \cdot 3^{4 x}}{\left(1 - 3^{2 x}\right)^{2}} + \frac{4 \cdot 3^{2 x}}{1 - 3^{2 x}} + 1\right) \log{\left(3 \right)}^{3}}{\sqrt{1 - 3^{2 x}}}$$