Question

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) = -x^2 + 4x Step 1: f(x+h) = -(x^2 + h^2 + 2hx) + 4 + 4h Step 2: f(x + h) - f(x) = -h(h + 2x) - 4 Step 3: frac{f(x + h) - f(x)}{h} = -(h + 2x - 4) Step 4: f'(x) = lim_{h o 0} frac{f(x + h) - f(x)}{h} = -2x + 4

          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) = -x^2 + 4x
Step 1:
f(x+h) = -(x^2 + h^2 + 2hx) + 4 + 4h
Step 2:
f(x + h) - f(x) = -h(h + 2x) - 4
Step 3:
frac{f(x + h) - f(x)}{h} = -(h + 2x - 4)
Step 4: f'(x) = lim_{h 	o 0} frac{f(x + h) - f(x)}{h} = -2x + 4

$Use the four-step process to find the slope of the tangent line to the graph of the given function at any point. (Simplify your answers completely.) f(x) = -x^2 + 4x Step 1: f(x+h) = -(x^2 + h^2 + 2hx) + 4 + 4h Step 2: f(x + h) - f(x) = -h(h + 2x) - 4 Step 3: fracf(x + h) - f(x)h = -(h + 2x - 4) Step 4: f'(x) = limh o 0 fracf(x + h) - f(x)h = -2x + 4$

Added by Jennifer M.

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