Slope and equation of the tangent line

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Find the indicated quantities for f(x) =3x2

(a) the average rate of change of f(x) if x changesfrom 2 to 5

(b) the slope of the secant line through the points (2,f(2)) and (5, f(5)) on the graph of y =f(x)

(c) the slope of the secant line through the points (2,f(2)) and (2 + h, f (2+h)), h cannot equal 0.

(d) the slope of the graph at (2, f (2)).

(e) the instantaneous rate of change of y = f (x) withrespect to x at x = 2

(f) the slope of the tangent line at (2, f(2)).

(g) the equation of the tangent line at (2, f(2)).

Reference no: EM13337832

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