AP Calc AB

d/dx sinx

cosx

d/dx cosx

-sinx

d/dx tanx

sec²x

d/dx cotx

-csc²x

d/dx secx

secx • tanx

d/dx cscx

-csc • cotx

d/dx log_bx

1/xlnb

d/dx b^x

b^xlnb

d/dx sin^-1x

1/√(1-x²)

d/dx cos^-1x

-1/√(1-x²)

d/dx tan^-1x

1/(1+x²)

d/dx cot^-1x

-1/(1+x²)

d/dx lnx

1/x

d/dx e^x

e^x

Volume of a cone

1/3πr²h

Volume of a sphere

4/3πr³

Surface area of a sphere

4πr²

d/dx f^-1(x)

1/f’(f^-1(x))

log_bx

lnx/lnb

lim x→∞(1+1/x)^x

e

lim x→0(1+x)^1/x

e

s(t)

1/2at²+V₀+S₀

y(x)

y₀ + ∫x₀ to x f(t)dt

sin(2x)

2sinxcosx

sin²x

½ (1-cos2x)

cos²x

½ (1-cos2x)