Mister Exam

Other calculators

Derivative of y=log(4-2*x-x^2),5+3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
    /           2\    
(log\4 - 2*x - x /, 8)
/ 2\ (log\4 - 2*x - x /, 8)
(log(-x^2 + 4 - 2*x), 8)
The first derivative [src]
d /    /           2\    \
--\(log\4 - 2*x - x /, 8)/
dx                        
$$\frac{d}{d x} \left( \log{\left(- x^{2} + \left(4 - 2 x\right) \right)}, \ 8\right)$$
The second derivative [src]
  2                        
 d /    /           2\    \
---\(log\4 - 2*x - x /, 8)/
  2                        
dx                         
$$\frac{d^{2}}{d x^{2}} \left( \log{\left(- x^{2} + \left(4 - 2 x\right) \right)}, \ 8\right)$$
The third derivative [src]
  3                        
 d /    /           2\    \
---\(log\4 - 2*x - x /, 8)/
  3                        
dx                         
$$\frac{d^{3}}{d x^{3}} \left( \log{\left(- x^{2} + \left(4 - 2 x\right) \right)}, \ 8\right)$$