Question

Cauchy's Mean Value Theorem can be reduced to Lagrange's Mean Value Theorem. This is true or false​

Answer 1

Answer:

Answer:

1. Cauchy's Mean Value Theorem can be reduced to Lagrange's Mean Value Theorem. Hence, if g(x) = x, then CMV reduces to LMV.

Step-by-step explanation:

Answer 2

True.

• Cauchy's mean value theorem can be reduced to Lagrange's mean value theorem.

• Basically, Cauchy's mean value theorem is the general form of Lagrange's mean value theorem.

• For this reduction, it should obey a condition given by g(x) = x.
• These two theorems are called mean value theorem because when the given function of a given area is differentiable and continuous at all the points, we get the mean value or average value of the same.