Question

2. Explain the concepts of increasing and
decreasing functions, using geometrical
significance of dy/dx. Illustrate with proper
examples​

Answer 1

Answer:

Let

y

=

f

(

x

)

be a differentiable function on an interval

(

a

,

b

)

.

If for any two points

x

1

,

x

2

∈

(

a

,

b

)

such that

x

1

<

x

2

,

there holds the inequality

f

(

x

1

)

≤

f

(

x

2

)

,

the function is called increasing (or non-decreasing) in this interval.