APCalcAC Differentiation Formulas mem. quiz

i think ive gone into a depressive state

d/dx(x^n)

nx^(n-1)

d/dx(fg)

fg’+f’g

d/dx(f/g)

(gf’-fg’)/g^2

d/dx(f(g(x)))

f’(g(x))g’(x)

d/dx(sinx)

cosx

d/dx(cosx)

\-sinx

d/dx(tanx)

sec^(2)x

d/dx(cotx)

\-csc^(2)x

d/dx(secx)

secxtanx

d/dx(cscx)

\-cscxcotx

d/dx(e^x)

e^x

d/dx(a^x)

a^(x)ln a, a > 0, a=!1

d/dx(lnx)

1/x

d/dx(arcsinx)

1/(sqrt(1-x^2))

d/dx(arctanx)

1/(1+x^2)

d/dx(arccosx)

\-1/(sqrt(1-x^2))