Derivative rules + log properties

if f(x) = x^n

f’(x) = n*x^n-1

d/dx e^x

e^x

d/dx lnx

1/x

d/dx logbx

1/x*lnb

d/dx sinx

cosx

d/dx cosx

-sinx

d/dx tanx

sec²x

d/dx cotx

-csc²x

d/dx secx

tanx * secx

d/dx cscx

-cscx * cotx

loga(M*N)

logaM + logaN

loga(M/N)

logaM/logaN

logaM^n

n*logaM

d/dx arcsinx

1_/√1-x²

d/dx arccos

-1/√1-x²

d/dx arcsecx

1/|x|√x²-1

d/dx arccscx

-1/|x| √x²-1

d/dx arctanx

1/x²+1

d/dx arccotx

-1/x²+1