Question

$$\displaystyle\frac{d}{d x } \left( { \left( { x }^{ 3 } -3x+1 \right) }^{ \frac{ 3 }{ 2 } } \right)$$

Evaluate

$\frac{9\sqrt{x^{3}-3x+1}\left(x^{2}-1\right)}{2}$

Show Solution

Differentiate w.r.t. x

$\frac{9\left(7x^{4}-18x^{2}+4x+3\right)}{4\sqrt{x^{3}-3x+1}}$