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y=arcsinx-10²x

What you mean?

Derivative of y=arcsinx-10²x

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

The graph:

from to

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The solution

You have entered [src]
            2  
asin(x) - 10 *x
$$- 10^{2} x + \operatorname{asin}{\left(x \right)}$$
d /            2  \
--\asin(x) - 10 *x/
dx                 
$$\frac{d}{d x} \left(- 10^{2} x + \operatorname{asin}{\left(x \right)}\right)$$
The graph
The first derivative [src]
            1     
-100 + -----------
          ________
         /      2 
       \/  1 - x  
$$-100 + \frac{1}{\sqrt{- x^{2} + 1}}$$
The second derivative [src]
     x     
-----------
        3/2
/     2\   
\1 - x /   
$$\frac{x}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}$$
The third derivative [src]
         2 
      3*x  
 1 + ------
          2
     1 - x 
-----------
        3/2
/     2\   
\1 - x /   
$$\frac{\frac{3 x^{2}}{- x^{2} + 1} + 1}{\left(- x^{2} + 1\right)^{\frac{3}{2}}}$$
The graph
Derivative of y=arcsinx-10²x