Question

WILL GIVE BRAINLIEST
For each curve find the values of (x) for which the curve is increasing
i.y=x^2 -4x
ii.y=x^2 -2x-3
iii.y=12+4x-x^2
iv.y=x^3 +3x^2-5
v.y=x^3-6x^2-15x+8
vi.y=24x-3x^2-x^3

Answer 1

i.y=x^2 -4x

y'=2x-4

increasing when y'>0 at x>2

ii.y=x^2 -2x-3

y'=2x-2

increasing when y'>0 at x>1

iii.y=12+4x-x^2

y'=4-2x

increasing when y'>0 when x<2

iv.y=x^3 +3x^2-5

y'=3x^2+6x

increasing when y'>0 at x<-2 or x>0

v.y=x^3-6x^2-15x+8

y'=3x^2-12x-15

increasing when y'>0 at x<-1 or x>5

vi.y=24x-3x^2-x^3

y'=24-6x-3x^2

increasing when y'>0 at -4<x<>2