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Calculus

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Using

1. f(x) = , find f'(x) and then add the tangent line to the graph of y=f(x) at x = 0
2. f(x) = , find f'(x)

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The expert examines function tangent line graphs.

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(1) f(x) = x^3
f(x + h) = (x + h)^3 = x^3 + h^3 + 3xh(x + h)
f(x + h) - f(x) = x^3 + h^3 + 3xh(x + h) - x^3 = h^3 + 3xh(x + h) = h [h^2 + 3x(x + ...

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