The following topics will be on the midterm exam.

**slope of tangent line** Given a function you should be able to find the equation of a tangent line for a given *x*.

**product rule** Be able to use the product rule to find the derivative of *f(x)g(x)*.

**quotient rule **Be able to use the quotient rule to find the derivative of a quotient, *f(x)/g(x)*.

**implicit differentiation** Find *dy/dx* given an expression in terms of *x* and *y*.

**related rates** Analyzing variables changing in time in a non-linear way.

(**optimization** will not be on the mid-term)

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