Let f(x) = V51 - x The slope of the tangent line to the graph of f(a) at the point (2, 7) is The equation of the tangent line to the graph of f(x) at (2, 7) isy = ma + b for m = and = Hint: the slope is given by the derivative at x = 2, ie. f (2 + h) - f(2) lim h-0 hSuppose that f is a function given as f(m) : 4m2 7:12 + 2. Simplify the expression f(m + h). m:- +h) =l l Hm + h) M) h _ f(a=+h)f(w) _, \\ f 'l l Simplify the difference quotient, The derivative of the function at m is the limit of the difference quotient as h approaches zero. a: h m , f,(x):m f( +) fuzi h}0 h