Pre-Calculus

posted by .

How do I find the minimum or maximum of this y = 2x³ + 3x² - 12x? It makes 2 curves.

• Pre-Calculus -

y = 2x^3 + 3x^2 - 12x
y' = 6x^2 + 6x - 12 = 6(x+2)(x-1)

y'=0 when x=-2 or 1
Knowing what you do about cubic curves, you can see that

the local max occurs at x = -2, and
the local min is at x = 1

y(-2) = 20
y(1) = -7

Similar Questions

1. math

this question concerns the function f(x)=-2x3+3x2+12x+10 (a)find the stationary points of this function using the strategy to apply the first derivative test,classify the left hand stationary point found in part (a) find the y-coordinate …
2. Algebra- Maximum and minimum.

I don't understand how to find the maximum and minimum. Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point. 15.f(x) = -x2 + 2x - 4 20.f(x) …
3. Algebra2

Complete parts a – c for each quadratic function. a. Find the y-intercept, the equation of the axis of symmetry and the x-coordinate of the vertex. b. Make a table of values that includes the vertex. c. Use this information to graph …
4. Pre-Calculus

I'm having problems solving this and showing the steps: Find the absolute maximum and absolute minimum, if either exists, for y = f(x)= x^3 - 12x + 12 -3 less equal to x greater than equal to 5
5. Math

Can someone help me with these questions?
6. algebra

Can someone please explain What polynomial has a graph that passes through the given points?
7. Applied Calculus

Find the absolute maximum and absolute minimum values, if any, of the function. (If an answer does not exist, enter DNE.) h(x) = x3 + 3x2 + 4 on [−3, 2]
8. calculus

there are no examples of this type of problem in my book so if you could help walk me through it - that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they occur. …
9. calculus

1. Which of the following expressions is the definition of the derivative of f(x) = cos(x) at the point (2, cos(2))?
10. College Alg

Graph the polynomial in the given viewing rectangle. Find the coordinates of all local extrema. State each answer correct to two decimal places. (If an answer does not exist, enter DNE.) y = 2x3 − 3x2 − 12x − 32, …

More Similar Questions