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).

(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.