Derivatives "Equal to Infinity"

Explanations 3

• We know that the derivative of fff evaluated at aaa is defined as a limit. We know that limits can "equal" infinity. Therefore there is a possibility that derivatives can "equal…

  By Calvin Lee, Moor Xu

• When are derivatives equal to infinity? Let's take an example. The reason is that x=x0.5\sqrt{x}=x^{0.5}x​=x0.5. The derivative of xnx^nxn is nxn−1nx^{n-1}nxn−1, or 0.5x−0.50.5x…

  By Vincent Huang

• Derivatives equal to infinity! First of all, recall: what is the derivative? You, the excellent calculus learner you are, would say "Oh, that's just the slope of the tangent lin…

  By Brandon Lin, Chris Jones