Let f(x) = x + 6x? 135x 17. (a) Use the definition of a derivative...
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Let f(x) = x³ + 6x? – 135x 17. (a) Use the definition of a derivative or the derivative rules to find f'(x) = 3x2 + 12x – 135 (b) Use the definition of a derivative or the derivative rules to find f'"(x) = бх + 12 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9) u (5,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = (-9,5) (e) On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity = (-∞,-2) | (f) On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity = (2,00) Let f(x) = x³ + 6x? – 135x 17. (a) Use the definition of a derivative or the derivative rules to find f'(x) = 3x2 + 12x – 135 (b) Use the definition of a derivative or the derivative rules to find f'"(x) = бх + 12 (c) On what interval is f increasing (include the endpoints in the interval)? interval of increasing = (-0,-9) u (5,00) (d) On what interval is f decreasing (include the endpoints in the interval)? interval of decreasing = (-9,5) (e) On what interval is f concave downward (include the endpoints in the interval)? interval of downward concavity = (-∞,-2) | (f) On what interval is f concave upward (include the endpoints in the interval)? interval of upward concavity = (2,00)
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a fx ddxx 6x 135x 17 3x 12x 135 b fx ddxfx ddx3x 12x 135 6x 12 c fx wi... View the full answer
Related Book For
Mathematical Applications for the Management Life and Social Sciences
ISBN: 978-1305108042
11th edition
Authors: Ronald J. Harshbarger, James J. Reynolds
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