Differentiation

Differentiate the following with respect to x:

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

Answer:

    \[\frac{1-4x^{\frac{3}{2}}}{\sqrt{x}\left(x^{2}-\sqrt{x}\right)^{3}}\]

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

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.

Leave a Reply