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(a)(i)
dy/dx=x²-4x+3
x²-4x+3=0
x²-3x-x+3=0
(x-1)(x-3)=0
x-1=0 or x-3=0
x=1 x=3
x=1 y=1/3-2+3+5=6,1/3 pt(1, 6,1/3)
x=3 y=9-18+9+5=5 pt(3, 5)
(ii)d²y/dx²=2x-4
x=1 d²y/dx²=-2 maximum(1, 6,1/3)
x=3 d²y/dx²=6-4=2 minimum(3,5)
(b)dy/dx=x²-4x+3
x=2 dy/dx=4-8+3=-1
y=8/3-8+6+5=5,2/3
pt(2, 5,2/3)
y-5,2/3 / x-2 = -1
3x+3y=23
Belan answered the question on February 25, 2019 at 14:56
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