Mister Exam

Other calculators

The derivative of the function/ arccos(x*x)-x

Derivative of arccos(x*x)-x

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
acos(x*x) - x
$$- x + \operatorname{acos}{\left(x x \right)}$$ 
acos(x*x) - x
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
         2*x    
-1 - -----------
        ________
       /      4 
     \/  1 - x
$$- \frac{2 x}{\sqrt{1 - x^{4}}} - 1$$
Simplify
The second derivative [src] 
   /        4 \
   |     2*x  |
-2*|1 + ------|
   |         4|
   \    1 - x /
---------------
     ________  
    /      4   
  \/  1 - x
$$- \frac{2 \left(\frac{2 x^{4}}{1 - x^{4}} + 1\right)}{\sqrt{1 - x^{4}}}$$
Simplify
The third derivative [src] 
      /        4 \
    3 |     6*x  |
-4*x *|5 + ------|
      |         4|
      \    1 - x /
------------------
           3/2    
   /     4\       
   \1 - x /
$$- \frac{4 x^{3} \left(\frac{6 x^{4}}{1 - x^{4}} + 5\right)}{\left(1 - x^{4}\right)^{\frac{3}{2}}}$$
Simplify
    © Mister Exam – Calculator