At which points on y=1+40x^3-3x^5 does the tangent line have the largest slope?

  • Thread starter Thread starter erjkism
  • Start date Start date
  • Tags Tags
    Optimization
Join the discussion
Registration is free. Ask a follow-up in this thread, or start your own.
Sign up Log in
1 reply · 2K views
erjkism
Messages
54
Reaction score
0

Homework Statement



At which points on the curve y=1 + 40x^3 - 3x^5 does the tangent line have th largest slope?

Homework Equations



derivative is 120x^2-15x^4...

The Attempt at a Solution



how should i do this? start by setting the derivative equal to zero to find critical #s, but then what?
 

Discussion

Physics news on Phys.org
It asks you to maximize the slope of the tangent line = to maximize the first derivative.