Finding Derivatives using rules

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What does it mean if f '(x) = 0 with respect to the tangent line?

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The tangent line is horizontal.

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What is the product rule in differentiation?

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If f(x) = g(x)h(x), then f'(x) = g'(x)h(x) + g(x)h'(x).

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What is the quotient rule in differentiation?

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If f(x) = \frac{g(x)}{h(x)}, then f'(x) = \frac{g'(x)h(x) - g(x)h'(x)}{(h(x))^2}.

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What does the chain rule state?

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If f(x) = g(h(x)), then f'(x) = g'(h(x))h'(x).

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