The cost of producing x ounces of gold from a new gold mine is C = f ( x ) dollars. (a) What is the meaning of the derivative f ′ ( x ) ? What are its units? (b) What does the statement f ′ ( 800 ) = 17 mean? (c) Do you think the values of f ′ ( x ) will increase or decrease in the short term? What about the long term? Explain.
The cost of producing x ounces of gold from a new gold mine is C = f ( x ) dollars. (a) What is the meaning of the derivative f ′ ( x ) ? What are its units? (b) What does the statement f ′ ( 800 ) = 17 mean? (c) Do you think the values of f ′ ( x ) will increase or decrease in the short term? What about the long term? Explain.
Solution Summary: The author explains the meaning of the derivative f’(x) and its units.
using the definition of derivative to find f'(x) for the function:f(x)=4/x. How do I solve this?
2. Consider the function
f(x) = x^2 -x +1 / x^2+1
If you were asked to find all the relative extrema of the function, would you prefer using the first or second-derivative test? Explain your reasoning.
What do you look for when you need to match the graph of a function with the graph of its derivative?
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