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The derivative of the function/ z=arcos(x-2y2)

Derivative of z=arcos(x-2y2)

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

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The solution

You have entered [src] 
acos(x - 2*y2)
$$\operatorname{acos}{\left(x - 2 y_{2} \right)}$$ 
acos(x - 2*y2)
The first derivative [src] 
        -1          
--------------------
   _________________
  /               2 
\/  1 - (x - 2*y2)
$$- \frac{1}{\sqrt{1 - \left(x - 2 y_{2}\right)^{2}}}$$
Simplify
The second derivative [src] 
    -(x - 2*y2)     
--------------------
                 3/2
/              2\   
\1 - (x - 2*y2) /
$$- \frac{x - 2 y_{2}}{\left(1 - \left(x - 2 y_{2}\right)^{2}\right)^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
 /                 2 \ 
 |     3*(x - 2*y2)  | 
-|1 + ---------------| 
 |                  2| 
 \    1 - (x - 2*y2) / 
-----------------------
                   3/2 
  /              2\    
  \1 - (x - 2*y2) /
$$- \frac{1 + \frac{3 \left(x - 2 y_{2}\right)^{2}}{1 - \left(x - 2 y_{2}\right)^{2}}}{\left(1 - \left(x - 2 y_{2}\right)^{2}\right)^{\frac{3}{2}}}$$
Simplify
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