Calculus - Derivatives Projects

Find g(x) = xe 2x^2 Let f(x,y) = y 2 e 2x Find f x (x,y) Let f(x) = (x +18)(x -9) 2 - 5 Find any

  1. Find g(x ) = xe 2x^2
  2. Let f( x,y ) = y 2 e 2x
    Find f x ( x,y )
  3. Let f(x) = ( x +18)( x -9) 2 – 5
    1. Find any local extrema. Say at what value of x they occur, and say whether each is a maximum or a minimum.
    2. Find the absolute minimum of f(x) on (0,∞).
  4. The Monterey Sailing Club offers sight-seeing tours of the Monterey Bay. The 3- hour tour costs $7 per person, and has an average demand of about 1000 customers a month. When they lowered the price to $6 per person, the monthly demand jumped to about 1200 customers. Assuming the demand equation is linear, find the tour price that should be charged per person in order to maximize the tour’s revenue.
  5. Let f( x,y ) = y x
    1. Find f x (x,y)
    2. Find f y (x,y)
  6. Let g(x) = x 3 ln x 3 . Find all local extrema (for all real x), say whether each is a maximum or minimum, and find the absolute extrema on [0,1].
  7. Let f(u) = ln u and let g’ (3) = 2 and h(x) = f(g(x)) Find dh/dx when x = 3
Price: $12.29
Solution: The downloadable solution consists of 7 pages, 529 words and 2 charts.
Deliverable: Word Document



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