MATH 30 PROBLEMS OF THE WEEK SET 6 1. A car speeding around a curve in the shape of 2yx=(moving from left to right) skids off the road at the point 11,24⎛⎜⎝⎠⎞⎟. Will the car hit a tree located at 31,4⎛⎞⎜⎟⎝⎠? 2. To perform implicit differentiation on an equation such as 223x y+=x1we start by differentiating all terms with respect to x. We get 222xyx y′+=. Many students learn the rules this way: Take “regular” derivatives of all terms, and tack on a y′, that is dydx, every time you take a y-derivative.
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