Find the derivative of this function:
Finding Area Between Curves
Find the total area enclosed between the graph of ƒ( ) and the x-axis.
Another way of doing this would be:



How would we do this on a calculator?
Area of a Region Between Two Curves

If f and g are continuous functions and f(x) ≥ g(x) for all x in the
interval [a, b], then the area of the region between the graphs of f
and g from x = a to x=b is
Finding the area between two curves, ƒ and

              f(x) = 4x - x2          g(x) = 5 - 2x
Day 5 examples

Day 5 examples

  • 1.
    Find the derivativeof this function:
  • 2.
    Finding Area BetweenCurves Find the total area enclosed between the graph of ƒ( ) and the x-axis.
  • 3.
    Another way ofdoing this would be: How would we do this on a calculator?
  • 4.
    Area of aRegion Between Two Curves If f and g are continuous functions and f(x) ≥ g(x) for all x in the interval [a, b], then the area of the region between the graphs of f and g from x = a to x=b is
  • 5.
    Finding the areabetween two curves, ƒ and f(x) = 4x - x2 g(x) = 5 - 2x