# Math Help - find derivative

1. ## find derivative

x^3(square root of x + 1)

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

i'm stuck after this.

2. Originally Posted by algebra2
x^3(square root of x + 1)

$y =x^3 (x + 1)^{\frac{1}{2}}$

i'm stuck after this.
differentiate using product rule

$\frac{dy}{dx} = 3x^2 (x+1)^{\frac{1}{2}}+x^3\frac{1}{2}(x+1)^{\frac{-1}{2}}$

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

$= \frac{6x^2 (x+1)+x^3}{2\sqrt{x+1}}$

$= \frac{7x^3 +6x^2}{2\sqrt{x+1}}$