Question

y=x (x-3)² decrease for the value of x given by​

Answer 1

$\large{\underline{\sf{\red{Question:-}}}}$

y=x (x-3)² decrease for the value of x given by_______

$\large{\underline{\sf{\green{Solution:-}}}}$

${Step-by-step:-}$

y = [ x ( x− 3 ) ] 2 increases when For function to be increasing dxdy > 0

dxdy=2x(x−3)×(2x−3)>0

Now,

x(x−3) (2x−3) >0

Plotting on number line 

(Image)

At a value less than zero, expression is negative

Therefore y = [x (x−3) ]2 increases for 

xϵ ( 0,23 ) ⋃ ( 3,∞)