aleshkaurrutia21 aleshkaurrutia21
  • 23-03-2024
  • Mathematics
contestada

A curve has the equation y=x3+8x²+5x.
Work out the coordinates of the two turning points.

A curve has the equation yx38x5x Work out the coordinates of the two turning points class=

Respuesta :

georgepahno georgepahno
  • 23-03-2024

Answer:

f(x) = x³ + 8x² + 5x

f'(x) = 3x² + 16x + 5 = 0

(x + 5)(3x + 1) = 0

x = -1/3, x = -5

f(-5) = (-5)³ + 8(-5)² + 5(-5) = 50

f(-1/3) = (-1/3)³ + 8(-1/3)² + 5(-1/3) = -22/27

The coordinates of the two turning points are (-5, 50) and (-1/3, -22/27).

Answer Link

Otras preguntas

The sum of 41 and w is 26
What is the relationship between the 6s in the number 660,472?
Give an example of vertical angles in your home
A town has accumulated 4in of snow and the snow depth is increasing by 6in every hour a nearby town has accumulated 8in and the depth is increasing by 2in every
Which area is NOT considered part of the British Isles? North Wales South Wales Portugal England
When 9 is subtracted from a number then divided by 2, the answer is 4. What is the number?
Alexa had a negative balance in her checking account before depositing a $47.00 check. what is the new balance of Alexa's checking account? what property did yo
How do I find the answer to 4+3j=43
Balance the following equation: Cl2 + al ======= alcl3
when a puddle of water evaporates, does the water change into a new kind of matter