Theorems on differentiability of a function.
MIT OpenCourseWare http://ocw.mit.edu 18.014 Calculus with Theory Fall 2010 For information about citing these materials or our Terms of Use, visit: http://ocw.mit.edu/terms.
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Nth root of the function y to the power m is differentiable in what conditions are discussed in this lecture note by Professor James Raymond Munkres. The above differentiation formula is stated and proved. The differentiation formula for the function x to the power r, where r is a rational number is explained.
Prof. James Raymond Munkres, Maths, 18.014 Calculus with Theory, Fall 2010:9. Theorem and proof, Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed August 3,2011). License: Creative Commons BY-NC-SA:http://ocw.mit.edu/terms/#cc
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