The Calculus with Analytic Geometry, Volume 1Harper & Row, 1981 - Calculus |
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Page 225
Louis Leithold. An absolute extremum of a function on an interval is either an abso- lute maximum value or an absolute minimum value of the function on the interval . A function may or may not have an absolute extremum on a given ...
Louis Leithold. An absolute extremum of a function on an interval is either an abso- lute maximum value or an absolute minimum value of the function on the interval . A function may or may not have an absolute extremum on a given ...
Page 226
... absolute maximum value of ƒ on [ -5 , 4 ] occurs at 1 , and f ( 1 ) = 2 ; the absolute minimum value of fon [ -5 , 4 ] occurs at -5 , and f ( -5 ) = - 4 . Note that f has a relative maximum value at 1 and a relative minimum value at 3 ...
... absolute maximum value of ƒ on [ -5 , 4 ] occurs at 1 , and f ( 1 ) = 2 ; the absolute minimum value of fon [ -5 , 4 ] occurs at -5 , and f ( -5 ) = - 4 . Note that f has a relative maximum value at 1 and a relative minimum value at 3 ...
Page 227
... Value Theorem O y d X x -2 -1 + } f ( x ) | −1 2 33 7 -2 ( -1,2 ) ( 풍 , 글루 ) 12 > x proof of this theorem is ... absolute maximum value and an absolute minimum value on [ a , b ] . Theorem 4.2.9 states that continuity of a function ...
... Value Theorem O y d X x -2 -1 + } f ( x ) | −1 2 33 7 -2 ( -1,2 ) ( 풍 , 글루 ) 12 > x proof of this theorem is ... absolute maximum value and an absolute minimum value on [ a , b ] . Theorem 4.2.9 states that continuity of a function ...
Common terms and phrases
absolute maximum value absolute minimum absolutely convergent antiderivative chain rule closed interval convergent coordinates cos² cosh cost function curve defined by f(x definite integral derivative differentiable directrix distance Draw a sketch elements of area ellipse evaluate Example exists f is continuous FIGURE Find an equation Find the area Find the volume focus following theorem formula function defined function f Given f(x graph of ƒ Hence hyperbola ILLUSTRATION intersection inverse L'Hôpital's rule lim f(x Limit Theorem measure natural logarithmic obtain open interval parabola particle perpendicular polar positive number power series Proof Prove radius real numbers rectangle rectangular elements region bounded relative maximum value revolving Riemann sum sec² sequence shown in Fig Simpson's rule sin² sinh slope solid of revolution Solution square units tangent line tank velocity vertex vertices x₁ y₁