single term
f(x)=x
f '(x)=1
f(x)= 4x2+6x
f'(x)=8x+6
f(x)=sin(x)
f'(x)= cos(x)
f(x)=1/x
f'(x)=-1/x2
f(x)=ln(x)
f'(x)=1/x
y=x2
y'=2x
f(x)= 5x3+2x
f'(x)= 15x2+2
g(x)=cos(x)
g'(x)=-sin(x)
g(x)=1/x2
g'(x)=-2/x3
g(x)=ln(2x)
g'(x)=1/x
x(t)=t
x'(t)=1
g(x)=-3x4+7x2
g'(x)=-12x3+14x
h(x)=tan(x)
h'(x)=sec2(x)
h(x)=x/2
h'(x)=1/2
h(x)=ln(x2)
h'(x)=2/x
y=√ x
y'=1/2x1/2
h(x)=6x5-4x
h'(x)=30x4-4
k(x)= sec(x)
k'(x)=sec(x)tan(x)
k(x)=3/x
k'(x)=-3/x2
k(x)=log10(x)
k'(x)=1/x ln(10)