A Minimum at x=2x = 2

★ 4/10functionsExtremacalculus

Problem

The function f(x)=ax3−12xaf(x) = ax^3 - \dfrac{12x}{a} (with a≠0a \neq 0) attains its local minimum at x=2x = 2, that is, the local minimum value is f(2)f(2). Find aa.

Answer

Solution

Difficulty4/10
Topicsfunctions, Extrema, calculus

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments
Log in to join the discussion.

No comments yet.