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Warm up Problems 1. 2. 3.

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After correcting the homework, we will be taking Derivative Quiz #2.

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Implicit Differentiation Ex. So far, all problems have been y = f (x) What if xs and ys are mixed together?

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Ex. If cos x + y 2 – y = x, find. Steps for Implicit Differentiation Derivative of x-function is the same as usual. Derivative of y-function gets. If xs and ys mixed, use product rule. Solve for.

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Ex. If cos x + y 2 – y = x, find.

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Ex.

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Pract.

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Ex. Find the slope of the line tangent to y = x + cos(xy) at the point where x = 0.

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Ex. If cos x + y 2 – y = x, find.

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Ex. Find the coordinates of any point on x 2 + y 2 = 16 where the tangent line has the slope of -1.

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Chapter 4 Additional Derivative Topics Section 5 Implicit Differentiation.

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