Power rule, chain rule, product rule, quotient rule, derivatives of ex, ax, loga(x), trigonometric, and inverse trigonometric functions
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Practice exam-style differentiation rules problems
The product and quotient rules are given by
Implicit differentiation is when we differentiate both sides of an equation. It is helpful when we have an equation that cannot be simplified to y=f(x).
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.