Question

The greatest value of (5 - x)whole square (x - 2)whole power 5, given 2 < x < 5 is​

Answer 1

Answer:

Given, y=5−(x−1)

2

For maximum or minimum of y ,

dx

dy

=0

So, −2(x−1)=0 or x=1

Thus,

dx

2

d

2

y

=−2<0

Hence, at x=1 the function y will have maximum value.

Thus, y

max

=5−(1−1)

2

=5