A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(7, f(7)) and Q(x,

Question

A curve has equation y = f(x).
(a) Write an expression for the slope of the secant line through the points P(7, f(7)) and Q(x, f(x)).
f(x) - x
f(7)-7
O
O X-7
f(x)-f(7)
Of(x)-f(7)
x-7
O
f(7) -7
f(x)
X
(b) Write an expression for the slope of the tangent line at P.
f(x)-f(7)
X-7
O lim
x-0
X-7
x-7 f(x)-f(7)
Olim
Olim
f(x) = f(7)
x-7
f(x) - x
x-0 (7)-7
Olim

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