AP Calc AB- Derivative Memorization Quiz

Constant Rule

d/dx ( c ) = 0

Power Rule

d/dx (xⁿ) = n * x^n-1

Constant Multiple Rule

d/dx (cxⁿ) = c * d/dx (xⁿ)

Sum/Difference Rule

d/dx (u ± v) = d/dx u ± d/dx v

Product Rule

d/dx (uv) = uv’ + vu’

The Quotient Rule

d/dx (u/v) = (vu’ - uv’) / (v²)

The Quotient Rule (words)

(low * d high - high * d low) / (low²)

d/dx (sinx)

cosx

d/dx (tanx)

sec²x

d/dx (secx)

secx * tanx

d/dx (cosx)

-sinx

d/dx (cotx)

-csc²x

d/dx(cscx)

-cscx * cotx

d/dx(e^x)

e^x

d/dx (ln x)

1/x