Mister Exam

Derivative of y=(x²+3x)⁵,x=-1

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
           5    
 / 2      \     
(\x  + 3*x/ , x)
5 / 2 \ (\x + 3*x/ , x)
((x^2 + 3*x)^5, x)
The first derivative [src]
  /           5    \
d | / 2      \     |
--\(\x  + 3*x/ , x)/
dx                  
$$\frac{d}{d x} \left( \left(x^{2} + 3 x\right)^{5}, \ x\right)$$
The second derivative [src]
  2/           5    \
 d | / 2      \     |
---\(\x  + 3*x/ , x)/
  2                  
dx                   
$$\frac{d^{2}}{d x^{2}} \left( \left(x^{2} + 3 x\right)^{5}, \ x\right)$$
The third derivative [src]
  3/           5    \
 d | / 2      \     |
---\(\x  + 3*x/ , x)/
  3                  
dx                   
$$\frac{d^{3}}{d x^{3}} \left( \left(x^{2} + 3 x\right)^{5}, \ x\right)$$
3-я производная [src]
  3/           5    \
 d | / 2      \     |
---\(\x  + 3*x/ , x)/
  3                  
dx                   
$$\frac{d^{3}}{d x^{3}} \left( \left(x^{2} + 3 x\right)^{5}, \ x\right)$$