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Differentiation rules
Power rule, chain rule, product rule, quotient rule, derivatives of ex, ax, loga(x),
Power rule, chain rule, product rule, quotient rule, derivatives of ex, ax, loga(x),
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The product and quotient rules are given by
In problems involving implicit derivatives, you may be asked to solve for points where the tangent to the curve is horizontal or vertical. A horizontal tangent means dxdy=0, and a vertical tangent occurs in the case where dxdy=denominatornumerator and the denominator equals zero.
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If the question asks for vertical / horizontal normals, just recall that a vertical normal means a horizontal tangent, and vice-versa.