Explanation Given information: The minimum for the parabola f ( x ) = x 2 + a x + b at the point ( 3 , 5 ) . 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 ( 3 , 5 ) . ⇒ f ' ' ( 3 ) > 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 f ' ( x ) = 0 ⇒ 2

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ISBN: 9781119399353

Author: DA

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Chapter 4.1, Problem 48P

To determine

To find:

The constants a and b so that the minimum for the parabola f(x)=x2+ax+b at the point (3,5).

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Chapter 4.1, Problem 47P

Chapter 4.1, Problem 49P

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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 ( 3 , 5 ) .

Solution Summary: The author calculates the minimum for the parabola f(x)=x2+ax+b at the point (3,5).

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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 (3,5).

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 ( 3 , 5 ) .

Solution Summary: The author calculates the minimum for the parabola f(x)=x2+ax+b at the point (3,5).

Videos

To find: The constants a and b so that the minimum for the parabola f(x)=x2+ax+b at the point (3,5).

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 (3,5).