Differentiation

Differentiate the following with respect to x:

    \[\frac{1}{x + \sqrt{x}}\]

Answer:

    \[-\frac{2\sqrt{x}+1}{2\sqrt{x}\left(x+\sqrt{x}\right)^{2}}\]

Source: R.L. Rosenberg. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Additional Exercises in Differentiation: Question (xvii))

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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