Question

x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set​

Answer 1

The graph is in the second attached image.

Explanation:

In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:

• x^3 + 3x^2 - 9x - 27

I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:

• First derivative = 3x^2 + 6x - 9 (It's a parabola)

And at last, we have in green color the second derivative:

• Second derivative = 6x + 6 (It's a line)

As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.