Mister Exam

Other calculators

The derivative of the function/ (asin(4*x)-4*x)

Derivative of (asin(4*x)-4*x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
asin(4*x) - 4*x
$$- 4 x + \operatorname{asin}{\left(4 x \right)}$$ 
asin(4*x) - 4*x
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
           4       
-4 + --------------
        ___________
       /         2 
     \/  1 - 16*x
$$-4 + \frac{4}{\sqrt{1 - 16 x^{2}}}$$
Simplify
The second derivative [src] 
     64*x     
--------------
           3/2
/        2\   
\1 - 16*x /
$$\frac{64 x}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
   /          2  \
   |      48*x   |
64*|1 + ---------|
   |            2|
   \    1 - 16*x /
------------------
             3/2  
  /        2\     
  \1 - 16*x /
$$\frac{64 \left(\frac{48 x^{2}}{1 - 16 x^{2}} + 1\right)}{\left(1 - 16 x^{2}\right)^{\frac{3}{2}}}$$
Simplify
    © Mister Exam – Calculator