can you help with differentiation

[mathhelp1a]

y = x ^3 sqrt x+1

1 / (2 x^3) (x + 1) ^ -1/2 + 3 x^2 (x+1 )^1/2

is this correct

 

[Deleted member 4993]

y = x ^3 sqrt x+1

1 / (2 x^3) (x + 1) ^ -1/2 + 3 x^2 (x+1 )^1/2

is this correct

\(\displaystyle \frac{d}{dx}\left (x^3 \sqrt{x+1}\right )\)

\(\displaystyle = 3x^2\sqrt{x+1} + \frac{x^3}{2}(x+1)^{-\frac{1}{2}}\)

 

[mathhelp1a]

can the final problem be simplified

 

[Deleted member 4993]

Depends on your definition of simplification - according to mine it is simplified enough.

 

[mathhelp1a]

what is your definition
for this equation, is it possible to simplify by factoring out least powers
no right?