AP Calculus AB - Unit 2 Memorization Items

d/dx (sin(x))

d/dx (sin(x))

cos(x)

d/dx (cos(x))

-sin(x)

d/dx (tan(x))

sec²(x)

d/dx (csc(x))

-cot(x) * csc(x)

d/dx (sec(x))

tan(x) * sec(x)

d/dx (cot(x))

-csc²(x)

d/dx (a^x)

a^x * ln(a)

d/dx (e^x)

e^x

d/dx (log_a(x))

1/x*ln(a)

d/dx (ln(x))

1/x

Differentiability Rules

1. sharp corner

2. discontinuity

3. vertical tangent line