Question

differentiate x^3 (x-2)^1/2 with respect to x

Answer 1

Hey mate,

Differentiation of

${x}^{3} \times {(x - 2)}^{ \frac{1}{2} }$


$now \: \frac{ {x}^{3} \times {(x - 2)}^{ \frac{1}{2} } }{dx}$

$= 3 {x}^{3 - 1} \times \frac{1}{2} {(x - 2)}^{ \frac{1}{2} - 1 }$

$= 3 {x}^{2} \times \frac{1}{2} {(x - 2)}^{ - \frac{1}{2} }$

$= 3 {x}^{2} \times \frac{1}{2 \sqrt{x - 2} } \\ \\ = \frac{3 {x}^{2} }{2 \sqrt{x - 2} }$