Determine the constants a,b,c, and d

angela107 · 2020-05-27T17:05:05+00:00

Homework Statement: Determine the constants a, b, c and d such that ##f(x)=ax^3+bx^2+cx+d## has a local maximum at the point (2, 4) and a point of inflection at the origin. Show your work. Relevant Equations: n/a Attempt at a Solution: So are my constants a=-1/4, b=0, c=3, and d=0?

Thread starter angela107
Start date May 27, 2020
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Constants

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angela107

Thread starter
May 27, 2020

Homework Statement: Determine the constants a, b, c and d such that ##f(x)=ax^3+bx^2+cx+d## has a local maximum at the point (2, 4) and a point of inflection at the origin. Show your work.

Relevant Equations: n/a

Handwritten-style worked solution finding a cubic f(x) = ax^3 + bx^2 + cx + d through the origin with an inflection at the origin and a maximum at (2,4), concluding f(x) = -1/4 x^3 + 3x.

So are my constants a=-1/4, b=0, c=3, and d=0?

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Doc Al

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May 27, 2020

angela107 said:

So are my constants a=-1/4, b=0, c=3, and d=0?

Looks OK to me.

Determine the constants a,b,c, and d

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