7, The inflection points of the function f(x)%= 글어 -금 + 12-음 ocurs at OCcurs at: ||

An economist is interested in how the price of a certain item affects its sales. When the price of the item is $ p, the number of items sold will be q = f(p). (This is the idea of "demand") Suppose we found out that f(150) = 2,000 and that f'(150) = -25. (a) Sketch the information of two boldface statements in a quick picture/sketch: (b) Write out in words what the first statement f(150) = 2,000 means in the context. (c) The fact that the derivative is negative reflects what natural phenomenon? (d) Write out in words what the statement f'(150) = -25 means in the context. (Add in appropriate units!) (e) Use the information given to estimate f(151) and f(149.5). Show your work, and explain your rationale for proceeding as you did. A little picture would be ideal to explain your thinking.

if  f(x) =sec x  , find f n ( pie / 4 )

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