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 sin(4x)
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Derivative of 2*x/(x-2)
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Derivative of sin(x)/x^5
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Derivative of log(3)^(2)*x
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Identical expressions
- ((three ^x)- two arccos(x))(ln(x)-2)
- ((3 to the power of x) minus 2arc co sinus of e of (x))(ln(x) minus 2)
- ((three to the power of x) minus two arc co sinus of e of (x))(ln(x) minus 2)
- ((3x)-2arccos(x))(ln(x)-2)
- 3x-2arccosxlnx-2
- 3^x-2arccosxlnx-2
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Similar expressions
- ((3^x)-2arccos(x))(ln(x)+2)
- ((3^x)+2arccos(x))(ln(x)-2)
- ((3^x)-2arccosx)(ln(x)-2)
Derivative of ((3^x)-2arccos(x))(ln(x)-2)
The solution
You have entered
[src]
/ x \ \3 - 2*acos(x)/*(log(x) - 2)
$$\left(3^{x} - 2 \operatorname{acos}{\left(x \right)}\right) \left(\log{\left(x \right)} - 2\right)$$
(3^x - 2*acos(x))*(log(x) - 2)
The first derivative
[src]
x
3 - 2*acos(x) / 2 x \
-------------- + |----------- + 3 *log(3)|*(log(x) - 2)
x | ________ |
| / 2 |
\\/ 1 - x /
$$\left(3^{x} \log{\left(3 \right)} + \frac{2}{\sqrt{1 - x^{2}}}\right) \left(\log{\left(x \right)} - 2\right) + \frac{3^{x} - 2 \operatorname{acos}{\left(x \right)}}{x}$$
The second derivative
[src]
/ 2 x \
2*|----------- + 3 *log(3)|
| ________ |
x | / 2 |
/ x 2 2*x \ 3 - 2*acos(x) \\/ 1 - x /
(-2 + log(x))*|3 *log (3) + -----------| - -------------- + ---------------------------
| 3/2| 2 x
| / 2\ | x
\ \1 - x / /
$$\left(3^{x} \log{\left(3 \right)}^{2} + \frac{2 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) \left(\log{\left(x \right)} - 2\right) + \frac{2 \left(3^{x} \log{\left(3 \right)} + \frac{2}{\sqrt{1 - x^{2}}}\right)}{x} - \frac{3^{x} - 2 \operatorname{acos}{\left(x \right)}}{x^{2}}$$
The third derivative
[src]
/ 2 x \ / x 2 2*x \
3*|----------- + 3 *log(3)| 3*|3 *log (3) + -----------|
| ________ | | 3/2|
/ 2 \ | / 2 | / x \ | / 2\ |
| 2 x 3 6*x | \\/ 1 - x / 2*\3 - 2*acos(x)/ \ \1 - x / /
(-2 + log(x))*|----------- + 3 *log (3) + -----------| - --------------------------- + ------------------ + ----------------------------
| 3/2 5/2| 2 3 x
|/ 2\ / 2\ | x x
\\1 - x / \1 - x / /
$$\left(\log{\left(x \right)} - 2\right) \left(3^{x} \log{\left(3 \right)}^{3} + \frac{6 x^{2}}{\left(1 - x^{2}\right)^{\frac{5}{2}}} + \frac{2}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right) + \frac{3 \left(3^{x} \log{\left(3 \right)}^{2} + \frac{2 x}{\left(1 - x^{2}\right)^{\frac{3}{2}}}\right)}{x} - \frac{3 \left(3^{x} \log{\left(3 \right)} + \frac{2}{\sqrt{1 - x^{2}}}\right)}{x^{2}} + \frac{2 \left(3^{x} - 2 \operatorname{acos}{\left(x \right)}\right)}{x^{3}}$$