FAMILIES OF FUNCTIONS (4.2) NAME__________________________ Use calculus to find the critical points in each problem. Determine if the critical points are local maximums or minimums. 1. ()2()Eθμθθμθ−=+ Assume μ is a positive constant and 0θ>. 2. ()32220()kxExxr=+ Assume k is a positive constant.3. 2( ) arctan arctanDDDααθ⎛⎞ ⎛=−⎜⎟ ⎜⎝⎠ ⎝⎞⎟⎠. Assume α is a positive constant and . 0D > 4. 27(20 )kkS2xx=+−. Assume is a positive constant and k 02x
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