Mister Exam
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- Derivative of a implicit defined function
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- Partial derivative of the function
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How to use it?
- Derivative of:
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Derivative of 8
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Derivative of atan(3*x)
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Derivative of 6*e^x
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Derivative of 7/x^2
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Identical expressions
- arccos((nine)^x)
- arc co sinus of e of ((9) to the power of x)
- arc co sinus of e of ((nine) to the power of x)
- arccos((9)x)
- arccos9x
- arccos9^x
Derivative of arccos((9)^x)
The solution
The first derivative
[src]
x -9 *log(9) ------------- __________ / 2*x \/ 1 - 9
$$- \frac{9^{x} \log{\left(9 \right)}}{\sqrt{1 - 9^{2 x}}}$$
The second derivative
[src]
/ 2*x \
x 2 | 9 |
-9 *log (9)*|1 + --------|
| 2*x|
\ 1 - 9 /
---------------------------
__________
/ 2*x
\/ 1 - 9
$$- \frac{9^{x} \left(\frac{9^{2 x}}{1 - 9^{2 x}} + 1\right) \log{\left(9 \right)}^{2}}{\sqrt{1 - 9^{2 x}}}$$
The third derivative
[src]
/ 4*x 2*x \
x 3 | 3*9 4*9 |
-9 *log (9)*|1 + ----------- + --------|
| 2 2*x|
| / 2*x\ 1 - 9 |
\ \1 - 9 / /
-----------------------------------------
__________
/ 2*x
\/ 1 - 9
$$- \frac{9^{x} \left(\frac{3 \cdot 9^{4 x}}{\left(1 - 9^{2 x}\right)^{2}} + \frac{4 \cdot 9^{2 x}}{1 - 9^{2 x}} + 1\right) \log{\left(9 \right)}^{3}}{\sqrt{1 - 9^{2 x}}}$$