Skip to content
World 5 · The shape of change · 7 min · PRO

Find the steepest climb

A direction is a unit vector

PRO · Calculus & Probability

World 5: The shape of change is part of PRO

The first world of Calculus & Probability is free. PRO opens the other 48 lessons in 6 worlds — simulations, quizzes and all.

  • Two directions, two slopes
  • Walk without climbing
  • The best view on a circular trail
  • Lift a hill through its contours
  • Read steepness from a map
PRO includes
  • All 26 labs — every world, every lesson
  • Practice exams and certificates

$8.33/mo, billed yearly ($99.99) · or $39.99 monthly

Unlock Calculus & ProbabilityTry the free world
← Walk without climbingThe best view on a circular trail →

Report a mistake

What is wrong?
0 / 2000 · at least 10 characters
Sent along with your report
  • Page
  • About Find the steepest climb — Calculus & Probability · calcprob/surface-gradient
Plus your browser type. Reports go to our support system; see the privacy notice.