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 x^2/2x+1
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Derivative of log(t-1)
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Derivative of e^x/(1+x^2)
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Derivative of 8*cos(x)
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Identical expressions
- three /cos(arctg(x/ three))
- 3 divide by co sinus of e of (arctg(x divide by 3))
- three divide by co sinus of e of (arctg(x divide by three))
- 3/cosarctgx/3
- 3 divide by cos(arctg(x divide by 3))
Derivative of 3/cos(arctg(x/3))
The solution
You have entered
[src]
3 ------------ / /x\\ cos|atan|-|| \ \3//
$$\frac{3}{\cos{\left(\operatorname{atan}{\left(\frac{x}{3} \right)} \right)}}$$
3/cos(atan(x/3))
The first derivative
[src]
x
---------------------------
3/2
/ 2\
| x | 2/ /x\\
3*|1 + --| *cos |atan|-||
\ 9 / \ \3//
$$\frac{x}{3 \left(\frac{x^{2}}{9} + 1\right)^{\frac{3}{2}} \cos^{2}{\left(\operatorname{atan}{\left(\frac{x}{3} \right)} \right)}}$$
The second derivative
[src]
/ 2 \
| x |
-|-1 + ------|
| 2|
\ 9 + x /
---------------
________
/ 2
/ x
3* / 1 + --
\/ 9
$$- \frac{\frac{x^{2}}{x^{2} + 9} - 1}{3 \sqrt{\frac{x^{2}}{9} + 1}}$$