Find dy/dx by implicit differentiation. x6 + y² = 23 Step 1 With implicit differentiation, we differentiate all the terms in our equation with respect to x. Keep in mind we are implying that y is a function of x. Think of it as y(x). In order to differentiate it, we will need to use the Chain Rule. To start, differentiate both sides of the equation with respect to x. x6 + y² = 23 [x6] + dx + + [3] = [23] [³] = 0 Step 2 Use the Chain Rule to find the derivative of y3. If it helps, think of y as y(x). [y³] = dy dx 0 X

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