SOLUTION: Hello. Confuse a bit with this, Find and classify the stationary points of the curve y = x^5 - x^3 and hence sketch the curve between the points x = -1 and x = 1. I G

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hello. Confuse a bit with this, Find and classify the stationary points of the curve y = x^5 - x^3 and hence sketch the curve between the points x = -1 and x = 1. I G      Log On


   

Question 377702: Hello.
Confuse a bit with this,
Find and classify the stationary points of the curve y = x^5 - x^3 and hence sketch the curve between the
points x = -1 and x = 1.
I Got so far
Local minimum when x-0.775 and y = -0.186
Thanks in advance
Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
To find the stationary points you have to get the derivative of y and then equate to zero. Then y' = 5x%5E4+-+3x%5E2 = x%5E2%285x%5E2+-+3%29 = 0. Then x = -0.775, 0, 0.775. At x = -0.775 there is a local max; at x = 0.775 there is a local min; at x = o there is an inflection point (neither a local max nor a local min; concavity changes from + to -).