Two main inspirations for inventing Calculus are: finding the slope of a tangent line that touches a curve flx) at a poi
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Two main inspirations for inventing Calculus are: finding the slope of a tangent line that touches a curve flx) at a poi
Two main inspirations for inventing Calculus are: finding the slope of a tangent line that touches a curve flx) at a point and finding the area of a shape bounded by at least one curve f(x). We use the (a)? to find the slope of a tangent, and we use the _(b)? to find the area of a shape. (a) Riemann sum (areas of rectangles), and (b) derivative (a) evaluation of f(O), and (b) limit of f(x) as X-> (a) derivative, and (b) integral (anti-derivative) (a) average rate of change, and (b) instantaneous rate of change
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