AP Calculus AB - Unit 2

d/dx(sinx)

cosx

d/dx(cosx)

-sinx

d/dx(tanx)

sec²x

d/dx(cscx)

-cscxcotx

d/dx(secx)

secxtanx

d/dx(cotx)

-csc²x

Chain rule

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

quotient formula

g(x)f'(x)-f(x)g'(x)/g(x)^2

d/dx(lnx)

1/x

Product Rule

f'(x)g(x)+f(x)g'(x)

differentiability of systems of equations

check for continuity then find derivatives at the value

equations of tangent lines

1. find y value by pluging in x

2. find derivative of tangent line for slope

3. use point slope form

definition of a derivative

lim h->0 f(x+h)-f(x)/h