![]() ![]() Any time you want to find the derivative of a product of two non-constant functions, you must apply the Product Rule: Given the function g(x) = sin x cos x, you might be tempted to use the same strategy and give the derivative g'(x) = (cos x)(-sin x), but this is not correct. ![]() You’d know that f is the sum of two functions, so the derivative is simply the sum of the individual funtions’ derivatives: You wouldn’t need to furrow your brow and scratch your chin like a gorilla trying to determine how to file its federal tax return. If asked to find the derivative of f(x) = sin x + cos x, you should have no trouble by now. Please e-mail any correspondence to Duane Koubaīy clicking on the following address About this document. Your comments and suggestions are welcome. Ĭlick HERE to see a detailed solution to problem 21.Ĭlick HERE to return to the original list of various types of calculus problems. With tangent lines parallel to the line y + x = 12.
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