Differentiation Questions and Answers
Calculus
DifferentiationHow can you 115 DISCUSS Equations That Are Not Identities tell if an equation is not an identity Show that the follow ing equations are not identities a sin 2x 2 sin x b sin x y sin x sin y c sec x csc x 1 1 sin x cos X d csc x sec x
Calculus
Differentiation71 72 73 1 sec x tan x cos t tan t 1 sin t 1 sin x 1 sin x sec x tan x tan t 1 sin x 1 sin x 2 sec x 4 tan x sec x
Calculus
DifferentiationFind the equation of the tangent line at the given poin 4 2 5 x y 3 at 1 2 2 2x 2 6 y e 3y x at 0 3
Calculus
DifferentiationQ16 Find for y 9x xe ex a 9 ex log 9 x e 9x ex b 9 exe 1 log9 x e 9x8x c 9 x log 9 x e9 9x e d 9 ex log 9 re 9x ex
Calculus
DifferentiationA company that produces cell phones has a cost function of C 19x 136x 6414 where C is the cost in dollars and is the number of cell phones produced in thousands How many units of cell phone in thousands minimizes the cost function x thousand phones produced will minimize C
Calculus
DifferentiationFind the derivative of Type all the steps that you took to find your answer and show all the steps f 1 tan 1 8 1
Calculus
Differentiation6 Determine the equation of the tangent line for sin x y 2x at the point 0 7 Write your answer in y mx b 7 Compute and simplify dy for y x x x
Calculus
DifferentiationFirst explain in English how you would find the derivative of the given function and list all differentiation rules that you can or need to use to find the derivative Then find its derivative x tan x f x
Calculus
Differentiationd dx 347 24 8 XY dx xy 2xy Y xy 2y yy 2y 2xy 2x y dx JA 2 2xy dx y 2y yy 4xy2y 2x 2xyy yy 2x y 2xy xy 2y 27 X y 2x 2xy 4x 2y 24 xy dy x y 2 y 2 ry Y xy xy jz X2x y XX 2 1 2XX X XY y 2 x 2 y xy 2714y 2y 2xy xy 2 dy y 4x4 2y 2y Y 2x 2xy 4 If A x and h denote the area length of a side and altitude of an equilateral triangle respectively then they are related by the formulas A x and x 2 3 h Determine the rate of change of the area with respect to the altitude and determine the rate of change when h 3 3
Calculus
Differentiationmr warren the physical education teacher has 7 boes of helmet each box has h helmets write an expression to represent the total number of helmets
Calculus
DifferentiationAre there any errors in this example There are no errors up to this point in the solution There is an error in the solution d7x6 d dx dx dx 1 2 d dx 7x4
Calculus
Differentiationstimate the instantaneous rate of change of the function f x x 4x 3 at x mange over successively smaller intervals elect the correct answer below D 13 12 11 O 10 9 0 7 3 using the average rate c
Calculus
DifferentiationConsider the following P x x 4x 15x Use the remainder theorem to determ x 4 is a zero of P x 1 is a zero of P
Calculus
DifferentiationYouTube SISD EPCC 1 1 Points DETAILS f x Paraphrasing Tool Find the value of the derivative if it exists at the indicated x 7 LARCALC12 3 1 007 y 2 1
Calculus
DifferentiationConsider the function f x x near x 8 Find the linear approximation error when using the linear approximation to estimate 7 85 O 0 00008 O 0 00008 1 9875
Calculus
DifferentiationMetric System One meter is about 3 a the equivalent of c b the equivalent of c
Calculus
DifferentiationIndicate the metric unit of measure Choose the correct answer below Square kilometers Cubic kilometers Square millimeters Cubic millimeters
Calculus
Differentiationpriate Ted is driving near Rome and sees Choose the correct answer below 6 cm 6 km
Calculus
Differentiation2 a Set up the following integral in spherical coordinates compute it iiint R frac z left x 2 y 2 z 2 right frac 3 2 d V where R is the region in the first octant defined by with x y x 9 3 2 2 Set up the above integral in cylindrical coordinates but do not compute it b Find the volume of the solid bounded by 2 y 5x z z y 2x
Calculus
Differentiation1 point Match the functions and their deriv 1 y tan x 2 y sin x tan x 3 y cos x 4 y cos tan x A y 3 cos x tan x B y sin tan x cos x C y 1 tan x D y sin x tan x sec x Note You can earn partial credit on this prob
Calculus
DifferentiationAnne Frank s family left Germany in order 0 Join the war effort Return to their homeland Escape discrimination
Calculus
DifferentiationHow many triangles can be forme m B 127 a 33 b 4 O No Triangles O One Triangle
Calculus
Differentiationand Sigma Notation Which answer represents the series in sigma notation 5 1 3 7 11
Calculus
Differentiationa Find the following side lengths for the net A 3cm B 10cm C 8cm D 6cm b Use the net to find the surface area of the prism cm 2
Calculus
DifferentiationFind y and then find the slope of the tangent line at 2 0 0016 y 5x 15 y 2 x 3 3 2 25 The tangent line at 2 0 0016 is y x Enter an integer or decimal number more V
Calculus
DifferentiationIf f x 2x sin r then f x f 0 3 Note Don t try to use sin x in your answers use arcsin x instead Round to the nearest hundredth