AP Calculus ABChapter 12 of 46
The Derivatives Nature Chose: sin, cos, eˣ, ln
Not yet publishedplanned runtime 11–15 min
Sine's derivative is cosine; eˣ is its own derivative. These are not coincidences — they are why these functions matter.
What this chapter covers
- justify the derivatives of sin x and cos x geometrically
- explain e as the base whose exponential equals its own derivative
- use d/dx ln x = 1/x