Question

The differentiation of function f (x) = (3x+2)^3/2 w.r.t x is..........pls
explain

Answer 1

(3/2)(3x+2)^{1/2}•(3)

Answer 2

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

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

$\frac{d(3x + 2)}{dx} = 3$

Multiplying above two equations we have,

$\frac{dy}{d(3x + 2)} \times \frac{d(3x + 2)}{dx} = \frac{dy}{dx} = \frac{9}{2} {(3x + 2)}^{ \frac{1}{2} }$