Question

Explain LMVT . by CMVT​

Answer 1

Answer:

f(x)=x+

x

1

x∈[1,3]

x

x

2

+1

Ref. image

Hence,

from graph

we can see that

x

x

2

+1

∣

∣

∣

∣

∣

x+

x

1

is conf. as was differentiable

∴F

′

(c)=

b=a

f(b)−f(a)

⇒1−

x

2

1

=

2

3+

3

1

−2

=

3+x

4

=

3

2

⇒1−

3

2

=

x

2

1

⇒

x

2

1

=

3

1

∴x=±

3

Hence, x=

x

which lies between [1,3]

∴ Its satisfies LMVT.

solution

Answer 2

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