16a_practice_m2

16a_practice_m2 - 16A Practice Midterm II 1.Find the...

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16A Practice Midterm II 1.Find the derivative of the following functions. DO NOT simplify your answers. a) f ( x ) = 12 x 4 ! 7 x 3 + b) g ( x ) = 3tan x 2 x ! 9 + x 1/5 sec x c) h ( x ) = (3 x 3 + 2 x ) 7 + 9 x 2. Find equations of the lines that are tangent to the graph of the function f ( x ) = x 3 ! 6 x + 5 and parallel to the line 3x + y + 4 = 0. Write your answers in slope-intercept form. 3. Use implicit differentiation to find dy dx for the curve xy = y 2 + x 3 ! 1. 4. Find all points on the graph of f(x) = cosx – sinx at which the tangent line is horizontal for 0 x < 2 π . 5. Use the limit definition of the derivative to prove that d dx [ cf ( x )] = c d dx [ f ( x )] 6. The height (in feet) of a toy rocket above the ground after t seconds is given by s ( t ) = ! 16 t 2 + 96 t + 288. a) What are the initial height and initial velocity of the rocket? b) Find the maximum height of the rocket. c) If the rocket hits the ground after 9 seconds, find intervals at which the speed is increasing.
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This note was uploaded on 06/23/2010 for the course MATH math16 taught by Professor Na during the Spring '10 term at UC Riverside.

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