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Mathematics, 09.02.2021 01:00 larenhemmings

A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(2, f(2)) and Q(x, f(x)). x βˆ’ 2 f(x) βˆ’ f(2) f(2) βˆ’ 2 f(x) βˆ’ x f(x) βˆ’ x f(2) βˆ’ 2 f(x) βˆ’ f(2) x βˆ’ 2 (b) Write an expression for the slope of the tangent line at P. lim xβ†’0 f(x) βˆ’ f(2) x βˆ’ 2 lim xβ†’2 x βˆ’ 2 f(x) βˆ’ f(2) lim xβ†’2 f(x) βˆ’ f(2) x βˆ’ 2 lim xβ†’0 f(x) βˆ’ x f(2) βˆ’ 2

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A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the...
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