Verify Lagrange’s mean-value theorem for the following function:

Given:

Since f(c) is continuous as well as differentiable in the interval [0,1].

⇒ f' (c)=e^c

⇒ e^c =e-1

⇒ c=log_e(e-1)

4

Verify Lagrange’s mean-value theorem for the following function:

5

Verify Lagrange’s mean-value theorem for the following function:

7

Verify Lagrange’s mean-value theorem for the following function:

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Verify Lagrange’s mean-value theorem for the following function: