If y= 3x + 6, what is the minimum value of (x^3)(y)?

Given the statement: if y =3x+6.

Find the minimum value of

Let f(x) =

Substitute the value of y ;

Distribute the terms;

The derivative value of f(x) with respect to x.

Using

we have;

Set

then;

By zero product property;

  and 2x + 3 = 0

⇒ x=0 and x =

then;

at x = 0

f(0) = 0

and  

x = -1.5

Hence the minimum value of is, -5.0625

898.1666667

step-by-step explanation:

5389/6 = 898.1666667

maybe i can