Mister Exam

Other calculators

The derivative of the function/ acos(2*t)

Derivative of acos(2*t)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
acos(2*t)
$$\operatorname{acos}{\left(2 t \right)}$$ 
acos(2*t)
The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     -2      
-------------
   __________
  /        2 
\/  1 - 4*t
$$- \frac{2}{\sqrt{1 - 4 t^{2}}}$$
Simplify
The second derivative [src] 
     -8*t    
-------------
          3/2
/       2\   
\1 - 4*t /
$$- \frac{8 t}{\left(1 - 4 t^{2}\right)^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
   /         2  \
   |     12*t   |
-8*|1 + --------|
   |           2|
   \    1 - 4*t /
-----------------
            3/2  
  /       2\     
  \1 - 4*t /
$$- \frac{8 \left(\frac{12 t^{2}}{1 - 4 t^{2}} + 1\right)}{\left(1 - 4 t^{2}\right)^{\frac{3}{2}}}$$
Simplify
    © Mister Exam – Calculator