Let ( y=f(x) ) be some function and suppose ( f(6)=2 ). If the tangent line to ( f ) at ( x=6 ) passes through the point ( (0,-3) ), determine ( f^{prime}(6) ). Enter answer as an integer or reduced fraction. [ f^{prime}(6)= ] ( square )
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The slope of the line passing through the points (6,2) and (0,-3) is given by the formula: m = (y2 - y1) / (x2 - x1) = (-3 - 2) / (0 - 6) = -5 / -6 = 5/6 Show more…
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