# Question #a681a

##### 1 Answer

#### Answer:

The minimum value of the above is -1.5, which occurs when x = -1.5

#### Explanation:

To find out the maximum or minimum, first differentiate the function with respect to x and equate it to 0. As you may know, the differential coefficient of a function represents the slope of the tangent of the function. So when the function reaches a maximum or minimum value, its slope is 0. That is the reason why we differentiate it and equate it to 0. In this case, df(x) / dx = 4x + 6. Equating this to 0, we get 4x + 6 = 0 or x = -1.5. Substituting it in the original function, we get f(-1.5) =