Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f (x) = −x2 + 6x. f(x) = −x2 + 6x.
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f (x+h) = -7 (x+h) 2 + 10 (x+h) = -7 (x 2 + 2xh + h 2) + 10x + 10h. f (x+h) - f (x) = -14xh - 7h 2 + 10h. [f (x+h) - f (x)] / h = -14x - 7h + 10. f' (x) = lim h→0 [ (f (x+h) - f (x)) / h] = lim
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Use the four-step process to find the slope of a line tangent to the graph of the given function at any point. f (x) = -{1} / {2 x^2}. Use the four-step process to find the slope of the tangent