What is the rate of increase for the function f(x)= 1/3 (^3 √24)^2x

Step-by-step explanation:

We are given that a function

We have to find the rate of increase of the given function.

Differentiate w.r.t x

Then, we get

Using formula :  

Using identity:

Hence, the rate of increase of the function =

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1