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# Chain rule and implicit differentiation worksheet answers

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Mar 26, 2016 Answers and explanations. Using the chain rule Because the argument of the sine function is something other than a plain old x, this is a chain rule problem. Just use the rule for the derivative of sine, not touching the inside stuff (x2), and then multiply your result by the derivative of x2. Using the chain rule. Mar 26, 2016 Answers and explanations. Using the chain rule Because the argument of the sine function is something other than a plain old x, this is a chain rule problem. Just use the rule for the derivative of sine, not touching the inside stuff (x2), and then multiply your result by the derivative of x2. Using the chain rule. Find the derivative. Possible Answers Correct answer Explanation When the function is a constant to the power of a function of x, the first step in chain rule is to rewrite f (x). So, the first factor of f (x) will be . Next, we have to take the derivative of the function that is the exponent, or . Its derivative is 10x-7, so that is the .. Implicit differentiation. 1. Compute derivatives of implicit functions Facts An equation F (x, y) 0 involving variables x and y (may dene y as a func- dy tion y y (x). To compute y dx , one can apply the following procedure. Step 1) View y y (x) and dierentiate both sides of the equation F (x, y) 0 with respect to x. Question. The point (1,3) lies on the curve in the xy-plane given by the equation f (x) g (y) 24 x y, where f is a differentiable function of x and g is a differentiable function of y. Selected values of f, f, g, and g are given in the table above. What is the value of d y d x at the point (1,3). Here we are going to see some example problems in differentiation using chain rule. Examples Problems in Differentiation Using Chain Rule. Question 1 Differentiate y (1 cos 2 x) 6..