$$$215. Find the derivative 
$$ 
$ 
$ 
$ 
$$$216. Find the derivative 
.
$$ 
$ 
$ 
$ 
$$$217. Define the equation of a plane parallel to the axis Оу
$$ 
$ 
$ 
$ 
$$$218. Find the derivative 
$$ 
$ 
$ 
$ 
$$$219. Find the derivative 
$$ 
$ 
$ 
$ 
$$$220. Find the second derivative 
$$ 
$ 
$ 
$ 
$$$221. Find the integral 
$$ 
$ 
$ 
$ 
$$$222. Find the integral 
$$ 
$ 
$ 
$ 
$$$223. Find the integral 
.
$$ 
$ 
$ 
$ 
$$$224. Find the integral 
.
$$ 
$ 
$ 
$0
$$$225. Find the derivative 
.
$$ 
$ 
$ 
$ 
$$$226. Which of the following functions is odd?
$$ 
$ 
$ 
$ 
$$$227. The function is given 
. Find 
.
$$1,02
$2
$2,002
$1
$$$228. Find the greatest and least value of the function 
on the segment 
.
$$ the greatest = 100;the least = -16
$ the greatest = 16; the least = -8
$ the greatest = 8; the least = -12
$ the greatest = -12; the least = -16
$$$229. Find 
, if 
$$ 
$ 
$ 
$ 
$$$230. Find , if 
.
$$ 
$ 
$
$ 
$$$231. Find 
, if 
$$ 
$ 
$ 
$ 
$$$232. Find , if 
$$ 
$ 
$ 
$ 
$$$233. The infinitesimals 
as 
is called as …, if 
.
$$ equivalents
$ infinitesimals
$ infinite large
$ equals
$$$234.The point 
, at which at least one condition of a continuity of function 
is failed, is called … of this function.
$$the point of discontinuities
$ the point of continues
$ the point of minimum
$ the point of maximum
$$$235. If at least one of the limits 
doesn’t exist or is equal to infinity, the point is called ….. of discontinuity point of the function 
.
$$ the second type
$ the first type
$ continuity
$ area
$$$236. The function is called … on a segment 
, if it is continuous at each point of the interval (а, 
), is continuous in a point а at the right and, in a point at the left.
$$ continuous
$ equivalent
$ periodical
$ symmetrical
$$$237. Find tangents of the angles of slope of tangents to curves: 
, 
, if 
.
$$-1
$ 2
$ 
$ 0
$$$238. Find the differential of function 
.
$$ 
$ 
$ 
$ 
$$$239. Find the differential of function 
$$ 
$ 
$ 
$ 
$$$240. Find the derivative of the third order 
$$ 
$ 
$ 
$ 
$$$241.Difference 
, is called …of argument х at the point 
.
$$ an increment
$ argument
$ element
$ set
$$$242.The velocity at a moment 
is equal to derivative of distance, this is … interpretation of derivative.
$$ mechanical
$ physical
$ geometrical
$ numerical
$$$243.A tangent to the function graph 
at the point 
is called …, being as limiting position of the secant, passing through the point 
as 
.
$$ a straight line
$a derivative
$ a parabola
$ a curve
$$$244. The formula of a hyperbolic sine is:
$$ 
$ 
$ 
$ 
$$$245 The hyperbolic cosine is equal:
$$
$
$
$
$$$246. Find the second derivative 
$$ 
$ 
$ 
$ 
$$$247. Find numerical value of expression 
.
$$5
$10
$-10
$-5
$$$248.Find 
.
$$0
$ 
$1
$ 
$$$249. Find the integral 
$$ 
$ 
$ 
$ 
$$$250.The hyperbolic cotangent is equal to:
$$
$
$
$
$$$251.The function 
with domain of function E and with range of function 
is called … function 
, if for 
and for 
.
$$ inverse
$ composite
$ equal
$ continuously
$$$252.If the increment of function 
at the point 
can be represented as 
, where 
- is a number, аnd 
- infinitesimal under 
, then the value 
is called … of function 
at the point 
.
$$ differential
$ derivative
$ argument
$ increment
$$$253. Find 
.
$$ 
$ 
$ 
$ 
$$$254. Derivative of the 
-th order of a functions is called … from the derivative of 
order under conditions that this derivative is exist
$$ derivative
$ differential
$ increment
$ argument
$$$255.Lagrange theorem.Let the function 
is differentiable on the interval 
. Then within this interval 
:
$$ 
$ 
$ 
$ 
= 
.
$$$256. Find 
$$0
$1
$1/4
$-1
$$$257. Find 
, if 
$$ 
$ 
$ 
$ 
$$$258. Show the expansion of sine by Maclaurirn formula: $$ 
$ 
$ 
$ 
$$$259. Let 
is differentiable on the (a,b).If …, 
, than 
decreases monotonicity on the (a,b).
$$ 
$ 
$ 
$ 
$$$260.The point 
, at which 
is continuously, and derivative of function is equal to zero or not exist, is called as … point of this function.
$$ critical
$ continuously
$ differentiable
$ zero
$$$261.Let and 
are two infinitesimal or infinite large under 
functions, which differentiable in a neighborhood of the point а and let 
and 
. Thereafter, if exist 
, than exist and they are equal to:
$$ =
$
$
$
$$$262. Show the expansion of cosine by Maclaurirn formula:
$$
$ 
$ 
$
$$$263. Find 
, if 
.
$$ 
$ 
$ 
$ 
$$$264. Find the integral 
.
$$ 
$ 
$ 
$ 
$$$265. Find the integral 
.
$$ 
$ 
$ 
$ 
$$$266.The point is called point of … of function 
, if it is defined in some neighborhood 
of this point and 
.
$$minimum
$ maximum
$ inflection
$ discontinues
$$$267. The geometrical sense of integral 
, consists of finding …
$$ the area of a curvilinear trapeze
$ a point
$ a lengths of straight line
$ a plane
$$$268.The function 
is called as… at the point , if it has finite derivative at this point.
$$ differentiable
$derivative
$ equivalent
$ increment
$$$269. Find the integral 
.
$$ 
$ 
$ 
$ 
$$$270. The hyperbolic tangent is equal:
$$ 
$ 
$ 
$ 
$$$271.The function 
is called as differentiable on the interval 
, if it is … on this interval and has derivative of all points of the interval 
.
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