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C.L. Wang, Classroom Notes: Proof of the Mean Value Theorem. Amer. Math. Monthly 65 (1958), 362--364, MR1529949.

 

(In this article, the derivation of MVT from Rolle's theorem by tilting one's head is presented in horrible analytic detail.)

C.L. Wang, Classroom Notes: Proof of the Mean Value Theorem. Amer. Math. Monthly 65 (1958), 362--364, MR1529949.

(In this article, the derivation of MVT from Rolle's theorem by tilting one's head is presented in horrible analytic detail.)

H. Swann, Commentary on Rethinking Rigor in Calculus: The Role of the Mean Value Theorem. Amer. Math. Monthly 104 (1997), 241--245.

J.J. Koliha, Mean, Meaner, and the Meanest Mean Value Theorem. Amer. Math. Monthly 116 (2009), 356--361.

H. Swann, Commentary on Rethinking Rigor in Calculus: The Role of the Mean Value Theorem. Amer. Math. Monthly 104 (1997), 241--245, MR1436046.

J.J. Koliha, Mean, Meaner, and the Meanest Mean Value Theorem. Amer. Math. Monthly 116 (2009), 356--361, MR2503322, JSTOR.

L.C. Barrett, Classroom Notes: Methods of Proving Mean Value Theorems. Amer. Math. Monthly 69 (1962), 50--52.

L.W. Cohen, On being mean to the Mean Value Theorem. Amer. Math. Monthly 74 (1967), 581-582.

L. Bers, On avoiding the Mean Value Theorem. Amer. Math. Monthly 74 (1967), 583.

H. Levi, Classroom Notes: Integration, Anti-Differentiation and a Converse to the Mean Value Theorem. Amer. Math. Monthly 74 (1967), 585--586.

R.P. Boas Jr., Classroom Notes: Lhospital's Rule Without Mean-Value Theorems. Amer. Math. Monthly 76 (1969), 1051--1053.

D.E. Sanderson, Classroom Notes: A Versatile Vector Mean Value Theorem. Amer. Math. Monthly 79 (1972), 381--383.

T.W. Tucker, Rethinking Rigor in Calculus: The Role of the Mean Value Theorem. Amer. Math. Monthly 104 (1997), 231--240.

L.C. Barrett, Classroom Notes: Methods of Proving Mean Value Theorems. Amer. Math. Monthly 69 (1962), 50--52, MR1531511).

L.W. Cohen, On being mean to the Mean Value Theorem. Amer. Math. Monthly 74 (1967), 581-582, MR1534332.

L. Bers, On avoiding the Mean Value Theorem. Amer. Math. Monthly 74 (1967), 583, MR1534333.

H. Levi, Classroom Notes: Integration, Anti-Differentiation and a Converse to the Mean Value Theorem. Amer. Math. Monthly 74 (1967), 585--586, MR1534334.

R.P. Boas Jr., Classroom Notes: Lhospital's Rule Without Mean-Value Theorems. Amer. Math. Monthly 76 (1969), 1051--1053, MR1535647.

D.E. Sanderson, Classroom Notes: A Versatile Vector Mean Value Theorem. Amer. Math. Monthly 79 (1972), 381--383, MR1536685.

T.W. Tucker, Rethinking Rigor in Calculus: The Role of the Mean Value Theorem. Amer. Math. Monthly 104 (1997), 231--240, MR1436045, MAA website.