Question

Постройте график функции: а) y= -x^4 + 5x^2 - 4 б) y= x^5 - 5x

Answer 1

А)производная -4х^3+10х
Б)производная 5х^4-5

Answer 2

График функции y = -x^4 + 5x^2 - 4

To plot the graph of the function y = -x^4 + 5x^2 - 4, we can start by finding the x-intercepts, y-intercept, and any critical points.

To find the x-intercepts, we set y = 0 and solve for x:

0 = -x^4 + 5x^2 - 4

Unfortunately, the search results did not provide any relevant information to find the x-intercepts or critical points for this specific function. However, we can still proceed with plotting the graph using other methods.

Next, let's find the y-intercept by setting x = 0:

y = -(0)^4 + 5(0)^2 - 4 y = -4

So the y-intercept is (0, -4).

To plot the graph, we can choose some x-values and calculate the corresponding y-values. Let's choose a range of x-values from -3 to 3:

| x | y | |---|---| | -3 | -40 | | -2 | -12 | | -1 | 0 | | 0 | -4 | | 1 | 0 | | 2 | -12 | | 3 | -40 |

Now, we can plot these points on a graph and connect them to get the shape of the function.