su4kahey su4kahey
  • 07-04-2020
  • Mathematics
contestada

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

Respuesta :

amna04352
amna04352 amna04352
  • 07-04-2020

Answer:

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

Answer Link

Otras preguntas

There is an old saying that "families should stick together." In a well-constructed paragraph, compare and contrast what each text suggests about this popular i
Who was Alcuin of York?
How many liters of water are produced from the combustion of 2.5 moles of methane gas?
Consider the equation and the following ordered pairs: (−3,y) and (x,2). y=−3x−1 Step 1 of 2 : Compute the missing x and y values so that each ordered pair will
2x-2y =-7 use elimination
does this equal to 10 or 5 abit confused I’ll brainlist .
Look at the figure. Which step should be take. Next to construct a line through point R that is perpendicular to ST?
He said, "What is your name?" (into indirect speech) ​
if you toss a ball to your friends when the ball reaches its maximum altitude it’s vertical acceleration is what? is it 0 m/s or -9.81?
write an expression using division that could be used to find the width of the rectangle