Question

differentiation of y=
${(4 {x}^{2} - 2x) }^{2}$

Correct answer will be marked as brainliest!!!!!

Answer 1

Given ,

The function is

• $\sf{y = {(4 {x}^{2} - 2x) }^{2}}$

Differentiating wrt x , we get

$\tt \frac{dy}{dx} = \frac{d {(4 {x}^{2} - 2x) }^{2}}{dx}$

$\tt \frac{dy}{dx} = 2(4 {x}^{2} - 2x) \times \frac{d(4 {x}^{2} - 2x)}{dx}$

$\tt \frac{dy}{dx} = (8 {x}^{2} - 4x) \times (8x - 2)$

$\tt\frac{dy}{dx} = 64 {x}^{3} - 16 {x}^{2} - 32 {x}^{2} + 8x$

$\tt \frac{dy}{dx} = 64{x}^{3} - 48 {x}^{2} + 8x$

$\tt \frac{dy}{dx} = 8x(8 {x}^{2} - 6x + 1)$

Remmember :

$\implies \tt \frac{d {(x)}^{n} }{dx} = n {(x)}^{n - 1}$

$\implies \tt \frac{d(u \pm v)}{dx} = \frac{du}{dx} \pm \frac{dv}{dx}$