MATH 30PL
Test 2 Check List
FALL 2015
KNOW:





Definition of the derivative as a limit of a difference quotient
Derivative as a slope of the tangent, velocity, rate of change
Basic derivatives: power, exponential, trigonometric, inverse trigonometric, logarithmic
Differentiation rules: multiplication by a constant, sum, product, quotient, chain
Implicit, logarithmic differentiation
BE ABLE TO:













,   


sin x
Find limits involving
x
Find a limit at infinity 
Find points on the graph where function is not differentiable
Given the graph of the function sketch the graph of its derivative (min/max,
increasing/decreasing)
Given the graph of the derivative sketch the graph of a function (x-intercepts, positive/negative)
Compute a derivative of a function as a limit of a difference quotient
Compute a derivative(s) of a function using differentiation rules above
Find an equation of a tangent/normal line to the curve at a point
Find points on the curve where the tangent line is horizontal/ is parallel/perpendicular to a given
line/has a given slope
Use implicit differentiation to compute the above
Use logarithmic differentiation
REMINDERS:
 No graphing calculators allowed
 A list of basic derivatives will be provided