advertisement

MATH 121 – Test #2 Study Guide Section 2.3 know and use the constant rule, power rule, constant multiple rule, sum rule and difference rules Section 2.4 know and use the product rule and quotient rule know and use derivative formulas for all six trig functions (p. 111) prove the derivative formulas for tan x and sec x Section 2.5 know and use the chain rule (need to be able to use this in combination with all the previous rules from Sections 2.3 and 2.4) knowing the chain rule for powers (p. 116) will help save time Section 2.6 use implicit differentiation to find dy/dx when the relationship between y and x is not given in explicit form (for example, x2 + xy + y2 = 10 ) and find the slope at a given point (x,y) Section 2.7 set up and solve related rates problems such as on p. 131. Section 2.8 construct the linearization L(x) of f(x) at a point x=a use the linearization to estimate f(x) near x=a given y written as a function of x compute the differential dy use dy to estimate the change (or error) in y caused by a small change (or error) in x Section 3.1 know the definition of absolute and local minimum and maximum identify the critical numbers of a function locate all absolute and local minima and maxima of a continuous function f(x) on a closed interval [a,b]