Question

State whether the following functions exhibit maxima or minima. Find their local

maxima and local minima values.

1) 2x^2-3x+5​

Answer 1

f(x)=x 1−x....(x>0)

1−x≥0

x≤1

∴Domain:f(x):x∈(0,1]

f 1(x)=0

⇒ ✓1−x− 1/2✓1-x(−1)+✓1−x.1

⇒ ✓1−x= 2/✓1-x

⇒2(1−x)=x

⇒2−2x=x

f( 2/3)= 2/3. ✓1 - 2/3

= 2 = 2/3✓1/3 = 2/3✓3

→local maxima

local minima