f(x)=a^x
f’(X)=a^xlna
f(x)=lnx
f’(X)=1/x
f(x)=sin^-1x
f’(X)=1/(sqrt(1-x²))
f(x)=tan^-1x
f’(X)=1/(1+x²)
f(x)=sec^-1x
f’(X)=1/(xsqrt(x²-1))
f(x)=cos^-1x
f’(X)=-1/(sqrt(1-x²)
f(X)=cot^-1x
f’(X)=-1/(1+x²)
f^-1(x)=csc^-1x
f’(X)=-1/(xsqrt(x²-1))
f(x)=logax
f’(X)=1/xlna
f(x)=a^x/lna
f’(x)=a^x
f(x)=xlnx - x
f’(x)=lnx