Show that the curve y = 4x - x4 has only 1 stationary point. Determine the nature of this point.

Maximum

Step-by-step explanation:

dy/dx = 4 - 4x³ = 0

x³ = 1

x = 1

y = 4 - 1 = 3

There's only one stationary point: (1,3)

Nature:

d²y/dx² = -12x²

x = 1, so -12

Negative means it's maximum turning point

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.

5.5

step-by-step explanation: