In Exercises 29–32 the graph of the second derivative, f ″ ( x ) , is given. Determine the x-coordinates of all points of inflection of f ( x ) , if any. (Assume that f ( x ) is defined and continuous everywhere in [ − 3 , 3 ] .) [ HINT: Remember that a point of inflection of f corresponds to a point at which f ″ schanges sign, from positive to negative or vice versa. This could be a point where its graph crosses the x -axis or a point where its graph is broken: positive on one side of the break and negative on the other.]
In Exercises 29–32 the graph of the second derivative, f ″ ( x ) , is given. Determine the x-coordinates of all points of inflection of f ( x ) , if any. (Assume that f ( x ) is defined and continuous everywhere in [ − 3 , 3 ] .) [ HINT: Remember that a point of inflection of f corresponds to a point at which f ″ schanges sign, from positive to negative or vice versa. This could be a point where its graph crosses the x -axis or a point where its graph is broken: positive on one side of the break and negative on the other.]
Solution Summary: The author explains the x -coordinates of the point of inflection of a function.
In Exercises 29–32 the graph of the second derivative,
f
″
(
x
)
, is given. Determine the x-coordinates of all points of inflection of
f
(
x
)
, if any. (Assume that
f
(
x
)
is defined and continuous everywhere in
[
−
3
,
3
]
.) [HINT: Remember that a point of inflection of f corresponds to a point at which
f
″
schanges sign, from positive to negative or vice versa. This could be a point where its graph crosses the x-axis or a point where its graph is broken: positive on one side of the break and negative on the other.]
a
->
f(x) = f(x) = [x] show that whether f is continuous function or not(by using theorem)
Muslim_maths
Use Green's Theorem to evaluate F. dr, where
F = (√+4y, 2x + √√)
and C consists of the arc of the curve y = 4x - x² from (0,0) to (4,0) and the line segment from (4,0) to
(0,0).
Evaluate
F. dr where F(x, y, z) = (2yz cos(xyz), 2xzcos(xyz), 2xy cos(xyz)) and C is the line
π 1
1
segment starting at the point (8,
'
and ending at the point (3,
2
3'6
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Differential Equation | MIT 18.01SC Single Variable Calculus, Fall 2010; Author: MIT OpenCourseWare;https://www.youtube.com/watch?v=HaOHUfymsuk;License: Standard YouTube License, CC-BY