
06448959
j
2015d.00781
Price, David
Rotation of axes and the mean value theorem.
AMATYC Rev. 25, No. 2, 6061 (2004).
2004
,
EN
I45
E55
calculus
meanvalue theorems
proofs
visualization
coordinate systems
rotation of axis
tertiary education
Summary: This article provides a proof of the mean value theorem by rotating a coordinate system through a specified angle. The use of this approach makes it easy to visualize why the mean value theorem is true. An instructor can use the proof as another illustration of the rotation of axis technique in addition to the standard one of simplifying equations of conic sections.