Math  /  Calculus

QuestionFind the derivative f(x)f^{\prime}(x) of f(x)=xf(x)=|x| for x>0x>0, x<0x<0, and at x=0x=0. Explain why it's undefined at 00.

Studdy Solution
(d) The graph of f(x)=xf(x) = |x| is a V-shape with a vertex at the origin (0,0). The slope of the graph is positive for x>0x>0 and negative for x<0x<0. However, at x=0x=0, the slope is not defined because the graph has a sharp turn at this point. This is why f(0)f^{\prime}(0) is undefined.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord