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Math 211 Business Calculus Applications of Derivatives

Math 211 Business Calculus Applications of Derivatives

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– p. 17/34<br />

Max versus Min<br />

R = −0.05p 2 +0.98p+18<br />

R ′ (p) = −0.1p+0.98 = 0<br />

⇐⇒ p = 9.8<br />

To tell whether this critical point is a max or a min,<br />

Use the second derivative test<br />

R ′′ (p) = −0.1<br />

And a negative second derivative implies

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