Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. f(x) = -1/4 x^2 Step 1: f(x + h) = Step 2: f(x + h) - f(x) = Step 3: (f(x + h) - f(x))/h = Step 4: f'(x) = lim_(h_0) f(x + h) - f(x)/h =
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Step 1: f(x + h) = -1/4 (x + h)^2 = -1/4 (x^2 + 2xh + h^2) Show more…
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Use the four-step process to find the slope of the tangent line to the graph of the given function at any point: f(x) Step 1: f(x + h) Step 2: f(x + h) - f(x) Step 3: f(x + h) - f(x) / h Step 4: f'(x) = lim h -> 0 f(x + h) - f(x) / h
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Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify you answers completely.) f(x) = 4x^2 + 9x Step 1: f(x + h) = Step 2: f(x + h) - f(x) = Step 3: (f(x + h) - f(x)) / h = Step 4: f'(x) = lim_{h->0} (f(x + h) - f(x)) / h =
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