Science:Math Exam Resources/Courses/MATH110/April 2011/Question 04 (b)/Statement

Given a curve, its curvature K is a measure of how much it deviates from a straight line. It can be computed using the following formula:

$K={\frac {y''}{\left(1+(y')^{2}\right)^{3/2}}}$

In this question you will calculate the curvature of the curve x⁴ + y⁴ = 2 at a certain point.

Use your answer from part (a) to calculate $\displaystyle y''$.