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log(x)*acos(x)
The derivative of the function/ log(x)*acos(x)

Derivative of log(x)*acos(x)

Function f() - derivative -N order at the point
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The solution

You have entered [src] 
log(x)*acos(x)
log⁡(x)acos⁡(x)\log{\left(x \right)} \operatorname{acos}{\left(x \right)} 
log(x)*acos(x)
The graph
02468-8-6-4-2-1010-2020
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
acos(x)      log(x)  
------- - -----------
   x         ________
            /      2 
          \/  1 - x
−log⁡(x)1−x2+acos⁡(x)x- \frac{\log{\left(x \right)}}{\sqrt{1 - x^{2}}} + \frac{\operatorname{acos}{\left(x \right)}}{x}
Simplify
The second derivative [src] 
 /acos(x)         2           x*log(x) \
-|------- + ------------- + -----------|
 |    2          ________           3/2|
 |   x          /      2    /     2\   |
 \          x*\/  1 - x     \1 - x /   /
−(xlog⁡(x)(1−x2)32+2x1−x2+acos⁡(x)x2)- (\frac{x \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{2}{x \sqrt{1 - x^{2}}} + \frac{\operatorname{acos}{\left(x \right)}}{x^{2}})
Simplify
The third derivative [src] 
                                             /          2 \       
                                             |       3*x  |       
                                             |-1 + -------|*log(x)
                                             |           2|       
       3        2*acos(x)         3          \     -1 + x /       
- ----------- + --------- + -------------- + ---------------------
          3/2        3            ________                3/2     
  /     2\          x        2   /      2         /     2\        
  \1 - x /                  x *\/  1 - x          \1 - x /
(3x2x2−1−1)log⁡(x)(1−x2)32−3(1−x2)32+3x21−x2+2acos⁡(x)x3\frac{\left(\frac{3 x^{2}}{x^{2} - 1} - 1\right) \log{\left(x \right)}}{\left(1 - x^{2}\right)^{\frac{3}{2}}} - \frac{3}{\left(1 - x^{2}\right)^{\frac{3}{2}}} + \frac{3}{x^{2} \sqrt{1 - x^{2}}} + \frac{2 \operatorname{acos}{\left(x \right)}}{x^{3}}
Simplify
The graph
Derivative of log(x)*acos(x)
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