Question
The cost, $C$ (in dollars), to produce $g$ gallons of a chemical can be expressed as $C=f(g) .$ Using units, explain the meaning of the following statements in terms of the chemical:(a) $\quad f(200)=1300$(b) $\quad f^{\prime}(200)=6$
Step 1
When we plug in $g=200$ into the function, we get $f(200)=1300$. This means that it costs $1300 to produce 200 gallons of the chemical. Show more…
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The cost, $C$ (in dollars), to produce $g$ gallons of a chemical can be expressed as $C=f(g) .$ Using units, explain the meaning of the following statements in terms of the chemical: (a) $f(200)=1300$ (b) $f^{\prime}(200)=6$
The cost, $C$ (in dollars), to produce $g$ gallons of a chemical can be expressed as $C=f(g) .$ Using units, explain the meaning of the following statements in terms of the chemical: (a) $\quad f(200)=1300$ (b) $\quad f^{\prime}(200)=6$
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Key Concept: The Derivative
Interpretations of the Derivative
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