1. A curve has the equation y=x³+8x²+5x. dy (i) Work out the coordinates of the two turning points. = 3x²+16x+5 dy dx о = 3x² + 16x +5 0 = (3x+1)(x+5) 3x+1=0 - x+5=0 *= -1 1= (-13)³ +8 (½3)² + 5 (-1/3) = - 22/27 (-1/3-22/27) y= (-5)³ +8 (-5)² + 5(-5) = 50 (-5.50) -ㅎ -22 -5 50 ) and ( -0.333-0.815 (................

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.2: Writing Equations In Standard And Point-slope Forms
Problem 3BGP
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1. A curve has the equation y=x³+8x²+5x.
dy
(i) Work out the coordinates of the two turning points.
=
3x²+16x+5
dy
dx
о
= 3x² + 16x +5
0 = (3x+1)(x+5)
3x+1=0
-
x+5=0
*= -1
1= (-13)³ +8 (½3)² + 5 (-1/3) = - 22/27
(-1/3-22/27)
y= (-5)³ +8 (-5)² + 5(-5) = 50
(-5.50)
-ㅎ
-22
-5
50
) and (
-0.333-0.815
(................
Transcribed Image Text:1. A curve has the equation y=x³+8x²+5x. dy (i) Work out the coordinates of the two turning points. = 3x²+16x+5 dy dx о = 3x² + 16x +5 0 = (3x+1)(x+5) 3x+1=0 - x+5=0 *= -1 1= (-13)³ +8 (½3)² + 5 (-1/3) = - 22/27 (-1/3-22/27) y= (-5)³ +8 (-5)² + 5(-5) = 50 (-5.50) -ㅎ -22 -5 50 ) and ( -0.333-0.815 (................
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