Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Use the Mean Value Theorem
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Let f be defined on an open interval (a, b) and assume that f has a local maximum or
a local minimum at an interior point c of (a,b). If ƒ has a derivative (finite or infinite)
at c, then f'(c) must be 0.
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- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?arrow_forwardDetermine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.arrow_forward(b) Let f(x) = ax? + Bx + y be a function defined on the closed interval [a, b], where a, B, y, a and b are real constants. Is the Mean-Value Theorem applies for the function f (x) on [a, b]? If yes, then find the value(s) of the constant(s) C. %3Darrow_forward
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