Differentiation

Differentiate the following with respect to x:

    \[\frac{2x^{2}-x^{3}}{\sqrt{x^{2}-1}}\]

Answer:

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

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

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