Here's a new song to help you remember your derivative rules. It was based on the classic Aicha video by GellieMan (bottom of post below).

Lyrics

(Am F C G)

cosine, negative sine

f is tangent, secant squared is f prime

dy/dx is rise over run

x to the n, n x to the n minus 1

Square root, one over 2 root x

natural log is just 1 over x

log base b, 1 over x ln b

b to the x gains an ln b Oooooh

dy/dx, isn't it strange

dy/dx, rate of change

dy/dx, slope at a point

tangent line, tangent line

in my life.