Explanation Given information: The minimum for the parabola f ( x ) = x 2 + a x + b at the point ( − 2 , − 3 ) . Formula used: f has local minimum at x = p ⇒ f ' ' ( p ) > 0. Calculation: The minimum for the parabola f ( x ) = x 2 + a x + b at the point ( − 2 , − 3 ) . ⇒ f ' ' ( − 2 ) > 0. Then we have the critical values of f . ⇒ f ' ( x ) = 0 f ( x ) = x 2 + a x + b (Given) Differentiating with respect to ‘x’, we get f ' ( x ) = 2 x + a

Applied Calculus, 6e WileyPLUS + Loose-leaf

6th Edition

ISBN: 9781119408901

Author: Deborah Hughes-Hallett, Andrew M. Gleason, Patti Frazer Lock, Daniel E. Flath

Publisher: Wiley (WileyPLUS Products)

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Chapter 4.1, Problem 49P

To determine

To find:

The constants a and b so that the minimum for the parabola f(x)=x2+ax+b at the point (−2,−3).

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Chapter 4.1, Problem 48P

Chapter 4.1, Problem 50P

Chapter 4 Solutions

Applied Calculus, 6e WileyPLUS + Loose-leaf

Ch. 4.1 - Prob. 1P Ch. 4.1 - Prob. 2P Ch. 4.1 - Prob. 3P Ch. 4.1 - Prob. 4P Ch. 4.1 - Prob. 5P Ch. 4.1 - Prob. 6P Ch. 4.1 - Prob. 7P Ch. 4.1 - Prob. 8P Ch. 4.1 - Prob. 9P Ch. 4.1 - Prob. 10P

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The constants a and b so that the minimum for the parabola f ( x ) = x 2 + a x + b at the point ( − 2 , − 3 ) .

Solution Summary: The author calculates the minimum for the parabola f(x)=x2+ax+b at the point (-2,-3).

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To find:

The constants a and b so that the minimum for the parabola f(x)=x2+ax+b at the point (−2,−3).

Want to see the full answer?

Chapter 4 Solutions

The constants a and b so that the minimum for the parabola f ( x ) = x 2 + a x + b at the point ( − 2 , − 3 ) .

Solution Summary: The author calculates the minimum for the parabola f(x)=x2+ax+b at the point (-2,-3).

Videos

To find: The constants a and b so that the minimum for the parabola f(x)=x2+ax+b at the point (−2,−3).

Want to see the full answer?

Chapter 4 Solutions

To find:

The constants a and b so that the minimum for the parabola f(x)=x2+ax+b at the point (−2,−3).