F(x)=x^3+x^2-x-1 identify its relative maximum and minimum

local minimum at  x = 1/3

local maximum at x = -1

Step-by-step explanation:

F(x)=x^3+x^2-x-1 identify its relative maximum and minimum

cubic function

find  dF(x)/dx  =  3xx + 2x - 1

3xx + 2x - 1 = 0

3xx + 3x - x - 1 = 0

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

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

local extrema at  (3x - 1) = 0  and (x + 1) = 0

x = 1/3  and x = -1

check 2nd derivative

ddF(x)/ddx =  6x + 2

ddF(1/3)/ddx  =  6*(1/3) + 2 = 4  > 0

local minimum at  x = 1/3

ddF(-1)/ddx = 6*(-1) + 2 = -4 < 0

local maximum at x = -1

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

if the pizza is divided equally into 2 equal halves then you would get

πr^2/2

where r is the radius of the pizza.

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