Differentiation

Differentiate the following with respect to x:

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

Answer:

    \[\frac{2x^{2}-x+1}{\sqrt{x^{2}+1}}\]

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

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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