Derivative of Exponential, Logarithmic, and Trig Functions

d/dx(e^x)

e^x

d/dx(e^u(x))

u’(x)*e^u(x)

d/dx(ln^x)

1/x

d/dx(u(x))

u’(x)*1/u(x)

d/dx sin(u(x))

u’(x)*(cos(u(x))

d/dx cos(u(x))

u’(x)*(-sin(u(x))

d/dx tan(u(x))

u’(x)*sec²(u(x))

d/dx cot(u(x))

u’(x)* - csc²(u(x))

d/dx sec(u(x))

u’(x)*sec(u(x))*tan(u(x))

d/dx csc(u(x))

u’x* - csc(u(x))*cot(u(x))