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) = 10x^2 + 7x Step 1: f(x + h) = 10x^2 + 20xh + h^2 + 7x + 7h Step 2: f(x + h) - f(x) = 20xh + h^2 + 7h Step 3: f(x + h) - f(x) / h = 20x + h + 7 Step 4: f'(x) = lim h->0 f(x + h) - f(x) / h = 20x + 7 Need Help? Master It Talk to a Tutor
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Step 1:** Substitute \(x+h\) for \(x\) in the given function: \(f(x + h) = 10(x + h)^2 + 7(x + h)\) \(f(x + h) = 10(x^2 + 2xh + h^2) + 7x + 7h\) \(f(x + h) = 10x^2 + 20xh + 10h^2 + 7x + 7h\) ** Show more…
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